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ABE S., KARAMATSU Y.,
[1] On Fermat's last theorem and the first factor of the class number of the cyclotomic field, TRU Math., 4 (1968), 1-9.
Z186.368; M42#4482; R1970,1A138

ABEL N.,
[1] Solution de quelques problèmes à l'aide d'intégrales définis, Oeuvres compl., 2nd edition, Vol.I, Grondahl, Christiania, 1881, 11-27.
J13.20

ABOU-TAIR I.,
[1] On a certain class of Dirichlet series, Kyungpook Math. J., 30 (1990), no.2, 215-225.
Z719.11055; M92b:11062

ABRAMOWITZ M., STEGUN I.A., (eds.)
[1] Handbook of mathematical functions, National Bureau of Standards, Washington (1964).
Z171.385; M29#4914; R1965,5A40k

ABRAMSON M.,
[1] Permutations related to secant, tangent and Eulerian numbers, Canad. Math. Bull., 22 (1979), no.3, 281-291.
Z437.05002; M81c:05007; R1980,9V506

ADACHI N.,
[1] Generalization of Kummer's criterion for divisibility of class numbers, J. Number Theory, 5 (1973), 253-263.
Z263.12005; M48#11041; R1974,3A267

[2] The Diophantine equation $x^2 \pm ly^2 = z^l$ connected with Fermat's Last Theorem, Tokyo J. Math., 11 (1988), 85-94.
Z653.10016; M89g:11023; R1989,2A87

[3] An observation on the first case of Fermat's last theorem, Tokyo J. Math., 11 (1988), no. 2, 317-321.
Z673.10015; M90a:11035; R1989,10A152

ADAMS J.C.,
[1] On some properties of Bernoulli's numbers, in particular on Clausen's theorem respecting the fractional parts of these numbers, Proc. Camb. Phil. Soc., 2 (1872), 269-270.
J7.132

[2] On the calculation of Bernoulli's numbers up to $B_62$ by means of Staudt's theorem, Report Brit. Ass. Advanc. Sci., 1877 (1878), 8-14.
J10.189

[3] Table of the values of the first sixty-two numbers of Bernoulli, J. Reine Angew. Math., 85 (1878), 269-272.
J10.192

[4] On the calculation of the sums of the reciprocals of the first thousand integers and on the value of Euler's constant to 260 places of decimals, Report Brit. Ass. Advanc. Sci., 1877 (1878), 14-15.
J9.189

[5] Note on the value of Euler's constant, likewise on the values of the Napierian logarithms of 2, 3, 5, 7 and 10, and of modulus of common logarithms, all carried to 260 places of decimals, Proc. Roy. Soc. London, 27 (1878), 88-94.
J10.191

ADAMS J.F.,
[1] On the groups $J(X)$, II, Topology, 3 (1965), 137-171.
Z137.168; M33#6626; R1967,7A358

[2] On the group $J(X)$, IV, Topology, 5 (1966), no. 1, 21-71.
Z145.199; M33#6628; R1967,1A341

ADELBERG A.,
[1] Irreducible factors and p-adic poles of higher order Bernoulli polynomials, C. R. Math. Rep. Acad. Sci. Canada, 14 (1992), no.4, 173-178.
Z771.11014; M93e:11029; R1993,4A267

[2] On the degrees of irreducible factors of higher order Bernoulli polynomials, Acta Arith., 62 (1992), no.4, 329-342.
Z771.11013; M94a:11027; R1993,6A257

[3] A finite difference approach to degenerate Bernoulli and Stirling polynomials, Discrete Math., 140 (1995), 1-21.
Z841.11010; M96i:39001 R1996, 11B256

[4] Congruences of $p$-adic integer order Bernoulli numbers. J. Number Theory, 59 (1996), no.2, 374-388. (Erratum: J. Number Theory 65 (1997), no. 1, 179.)
Z866.11013; M97e:11028

[5] Higher order Bernoulli polynomials and Newton polygons. Applications of Fibonacci Numbers, Vol. 7 (Proceedings, Graz, July 15-19, 1996, G.E. Bergum et al., Eds.), 1-8. Kluwer Academic Publishers, Dordrecht, 1998.
Z990.11930

[6] 2-adic congruences of Nörlund numbers and of Bernoulli numbers of the second kind, J. Number Theory, 73 (1998), no. 1, 47-58.
Z926.11010; M99m:11018

[7] Arithmetic properties of the Nörlund polynomial $B_n^{(x)}$, Discrete Math., 204 (1999), no. 1-3, 5-13.

ADIGA C., BERNDT B.C., BHARGAVA S., WATSON G.N.,
[1] Chapter 16 of Ramanujan's second notebook; Theta-functions and q-series, Mem. Amer. Math. Soc., 53 (1985), No. 315, 1-85.
Z565.33002; M86e:33004; R1985,12V38

ADIGA C., BHARGAVA S.,
[1] A simple proof for finite double series representations for the Bernoulli, Euler and tangent numbers, Internat. J. Math. Ed. Sci. Tech., 14 (1983), 652-654.
Z516.10006

ADLEMAN L.M., HEATH-BROWN D.R.,
[1] The first case of Fermat's last theorem, Invent. Math., 79 (1985), no. 2, 409-416.
Z557.10034; M86h:11022; R1985,8A144

ADLER A., WASHINGTON L.C.,
[1] $p$-adic $L$-functions and higher dimensional magic cubes, J. Number Theory, 52 (1995), no.2, 179-197.
Z849.11093; M96j:11147

ADRIAN P.,
[1] Die Bezeichnungsweise der Bernoullischen Zahlen, Mitt. Verein. Schweiz. Versicherungsmath., 59 (1959), 199-206.
Z89.280; M22#5604; R1960,11A802

AGARWAL G.G.,
[1] Bernoulli monosplines and best quadrature formulas, Ganita, 35 (1984), no. 1-2, 70-80 (1987).
Z638.41010

AGOH T.,
[1] On the Diophantine equation concerning Fermat's last theorem, TRU Math., 13 (1977), no. 1, 1-8.
Z366.10018; M56#11893; R1978,6A170

[2] On the first case of Fermat's last theorem, J. Reine Angew. Math., 314 (1980), 21-28.
Z417.10011; M81b:10008; R1980,8A114

[3] On Fermat's last theorem and the Bernoulli numbers, J. Number Theory, 15 (1982), no. 3, 414-422.
Z504.10008; M84i:10018; R1983,8A115

[4] A note on the Bernoulli numbers and the class number of real quadratic fields, C.R. Math. Rep. Acad. Sci. Canada, 5 (1983), no. 4, 153-158.
Z517.12002; M85j:11143; R1984,2A94

[5] A note on the first case of Fermat's last theorem, C.R. Math. Rep. Acad. Sci. Canada, 6 (1984), no. 6, 337-342.
Z563.10015; M86i:11011; R1985,8A145

[6] On the congruences of Voronoi and Kummer for the Bernoulli numbers, C.R. Math. Rep. Acad. Sci. Canada, 7 (1985), no. 1, 15-20.
Z567.10006; M86f:11019; R1986,1A143

[7] On the criteria of Wieferich and Mirimanoff, C.R. Math. Rep. Acad. Sci. Canada, 8 (1986), no. 1, 49-52.
Z585.10009; M87c:11025; R1986,8A100

[8] On the Euler numbers and the distribution of E-irregular primes, preprint, Science University of Tokyo (1984).

[9] On the first case of Fermat's last theorem, II, Manuscripta Math., 56 (1986),no. 4, 465-474.
Z591.10012; 599.10012; M87k:11032; R1987,4A93

[10] On Bernoulli Numbers, I, C.R. Math. Rep. Acad. Sci. Canada, 10 (1988), 7-12.
Z645.10014; M89c:11034; R1988,10A108

[11] On Bernoulli and Euler numbers, Manuscr. Math., 61 (1988), 1-10.
Z648.10007; M89i:11030; R1988,10A109

[12] A note on unit and class number of real quadratic fields, Acta Math. Sinica (N.S.), 5 (1989), no. 3, 281-288.
Z701.11045; M90i:11124; R1990,9A265

[13] On Bernoulli numbers, II, Sichuan Daxue Xuebao, 26 (1989), Special Issue, 60-65.
Z707.11018; M91g:11018

[14] On Fermat's last theorem, C.R. Math. Rep. Acad. Sci. Canada, 12 (1990), no. 1, 11-15.
Z703.11015; M91f:11017; R1990.10A91

[15] On the Kummer-Mirimanoff congruences, Acta Arith., 55 (1990), no. 2, 141-156.
Z(648.10013)688.10014; M91d:11020; R1991,2A102

[16] Some variations and consequences of the Kummer-Mirimanoff congruences, Acta Arith. 62 (1992), no.1, 73-96.
Z738.11031;780.11015; M93i:11035; R1993,4A130

[17] On the Kummer system of congruences and the Fermat quotients, Exposition. Math., 12 (1994), no. 3, 243-253.
Z813.11009; M95g:11020

[18] On Giuga's conjecture, Manuscripta Math., 87 (1995), no. 4, 501-510.
Z845.11004; M96f:11005

[19] On Fermat and Wilson quotients, Exposition. Math., 14 (1996), no. 2, 145-170.
Z857.11001; M97e:11008

[20] Stickelberger subideals for a prime modulus related to Kummer-type congruences, J. Number Theory, 67 (1997), no. 2, 203-214.
Z898.11042; M98k:11171

[21] Stickelberger subideals related to Kummer-type congruences, Math. Slovaca 48 (1998), no. 4, 347-364.
M2000c:11180

AGOH T., DILCHER K., SKULA L.,
[1] Fermat quotients for composite moduli, J. Number Theory 66 (1997), no. 1, 29-50.
Z884.11003; M98h:11002

[2] Wilson quotients for composite moduli, Math. Comp. 67 (1998), no. 222, 843-861.
Z980.13202; M98h:11003

AGOH T., MORI K.,
[1] Kummer type systems of congruences and bases of Stickelberger subideals, Arch. Math. (Brno), 32 (1996), no. 3, 211-232.
Z903.11007; M98h:11132; R1998,4A230

AGOH T., SHOJI T.,
[1] Quadratic equations over finite fields and class numbers of real quadratic fields, Monatsh. Math. 125 (1998), no. 4, 279-292.
Z898.11043; M99b:11120

AGOH T., SKULA L.,
[1] Kummer type congruences and Stickelberger subideals, Acta Arith., 75 (1996), no. 3, 235-250.
Z841.11012; M97j:11052; R1997,8A241

AGRAWAL B.D., PRASAD J.,
[1] Extension of the Bernoulli numbers and polynomials, Bull. Math. Soc. Sci. Math. R.S. Roumaine (N.S.) (1982), 26 (74), no. 3, 211-215.
Z499.33010; M83k:33026; R1983,3V465

AINSWORTH O.R.,
[1] On generating functions, Fibonacci Quart., 15 (1977), no. 2, 161-163.
Z362.40003; M56#2840; R1978,3B37

AINSWORTH O.R., NEGGERS J.,
[1] A family of polynomials and powers of the secant, Fibonacci Quart. 21 (1983), no. 2, 132-138.
Z541.10011; M84k:33001

AKHIEZER N.I.: see STIEIRMAN I.JA., AKHIEZER N.I.

ALBADA P.J. van,
[1] The Bernoulli numerators, EUT Report-WSK, Eindhoven 84-WSK-03, (1984), 1-5.
Z557.10012; R1985,4V489

ALLENBY R.B.J.T., REDFERN E.J.,
[1] Introduction to number theory with computing, Edward Arnold, London-Melbourne- Auckland, 1989. x + 310 pp.
Z681.10001; M90k:11001

ALMKVIST G.,
[1] Wilf's conjecture and a generalization, In: The Rademacher legacy to mathematics (University Park, PA, 1992), 211-233, Contemp. Math., 166, Amer. Math. Soc., Providence, RI, 1994.
Z809.11026; M95g:11032

ALMKVIST G., GRANVILLE A.,
[1] Borwein and Bradley's Apéry-like formulae for $\zeta(4n+3)$, Experiment. Math. 8 (1999), no. 2, 197-203.

ALMKVIST G., MEURMAN A.,
[1] Values of Bernoulli polynomials and Hurwitz's zeta function at rational points, C. R. Math. Rep. Acad. Sci. Canada, 13 (1991), no. 2-3, 104- 108.
Z731.11014; M92g:11023; R1992,4A62

ALONSO J.,
[1] Arithmetic sequences of higher order, Fibonacci Quart., 14 (1976), no. 2, 147-152.
Z361.10014; M53#5455

AL-SALAM W.A., CARLITZ L.,
[1] Bessel polynomials and Bernoulli numbers, Arch. Math., 9 (1958), 412-415.
Z82.286; M21#3597; R1960,3182

[2] Bernoulli numbers and Bessel polynomials, Duke Math. J., 26 (1959), no. 3, 437-445.
Z92.292; M21#4256; R1960,9112

[3] Some determinants of Bernoulli, Euler and related numbers, Portugal. Math., 18 (1959), 91-99.
Z93.15; M23#A848; R1961,1B348

ALVARADO R., PEDRO,
[1] Sums of powers and Bernoulli numbers (Spanish), Rev. Mat. Dominicana, No. 1-2 (1986), 29-36.
M93f:11018

ALZER H.,
[1] Ein Duplikationstheorem für die Bernoullischen Polynome, Mitteilungen Math. Ges. Hamburg, 11 (1987), no. 4, 469-471.
Z632.10008; M88m:11009; R1988,7B20

[2] Inequalities for non-decreasing sequences, Proc. Royal Soc. Edinburgh, Sect. A, 123 (1993), no. 6, 1017- 1020.
Z799.26018; M95b:26021

[3] On some inequalities for the Gamma and psi functions, Math. Comp. 66 (1997), no. 217, 373-389.
Z854.33001; M97e:33004; R1997,4B94

[4] Sharp bounds for the Bernoulli numbers, Arch. Math. (Basel) 74 (2000), no. 3, 207-211.

AMICE Y.,
[1] Sur une conjecture de Leopoldt, Colloq. Algèbre, Ecole norm. supér. jeunes filles (1967), Paris (1968) 9/01-9/08.
R1969,7A294

[2] Une démonstration analytique p-adique du théorème de Ferrero-Washington, d'après Daniel Barsky, Séminaire de théorie des nombres, Paris (1982/83), Birkhäuser Boston, Boston, Mass., 1984, 1-20.
Z546.12010; M87b:11108; R1985,8A203

AMICE Y., FRESNEL J.,
[1] Fonctions zeta p-adiques des corps de nombres abeliens réels, Acta Arith., 20 (1972), 353-384.
Z217,43(237.12010); M49#2667; R1973,2A328

AMSLER R.,
[1] Sur les polynomes de Bernoulli, Bull. Soc. Math. France, 56 (1928), II, 36-41.
J54.485

ANASTASSIADIS J.,
[1] Définition fonctionnelle des polynômes de Bernoulli et d'Euler, C.R. Acad. Sci. Paris, 258 (1964), 1971-1973.
Z124,34; M28#4162; R1964,11B48

ANDO TETSUYA,
[1] The Riemann-Roch theorem and Bernoulli polynomials, Proc. Japan. Acad., A 61 (1985), no. 6, 161-163.
Z607.14008; M87a:14017; R1985,12A416

ANDRÉ D.,
[1] Développements de $\sec x$ et de $\tan x$, C.R. Acad. Sci. Paris, 88 (1879), 965-967.

ANDREWS G., FOATA D.,
[1] Congruences for the $q$-secant numbers, European J. Combin., 1 (1980), no. 4, 283-287.
Z455.10006; M82d:05018

ANDREWS G., GESSEL I.,
[1] Divisibility properties of the q-tangent numbers, Proc. Amer. Math. Soc., 68 (1978), no. 3, 380-384.
Z401.10020; M57#2925; R1978,12A131

ANKENY N.C., ARTIN E., CHOWLA S.,
[1] The class-numbers of real quadratic fields, Proc. Nat. Acad. Sci. U.S.A., 37 (1951), 524-527.
Z43,40; M13-212c

[2] The class-numbers of real quadratic number fields, Ann. of Math., 56 (1952), 479-493.
Z49,306; M14-251h

ANKENY N.C., CHOWLA S.,
[1] Note on the class-number of real quadratic fields, Acta Arith., 6 (1960), 145-147.
Z93,43; M22#6780; R1961,7A125

[2] A further note on the class-number of real quadratic fields, Acta Arith., 7 (1962), 271-272.
Z214,308; M25#1147; R1963,1A137

AOKI N.,
[1] On the Stickelberger ideal of a composite field of some quadratic fields, Max-Planck-Institut für Math. Bonn, MPI/90-16, 24 pp., 1990.

[2] On the Stickelberger ideal of a composite field of quadratic fields, Comm. Math. Univ. St. Paul., 39 (1990), no. 2, 195-209.
Z728.11055; M91m:11091

APOSTOL T.M.,
[1] Generalized Dedekind sums and transformation formulae of certain Lambert series, Duke Math. J., 17 (1950), no. 2, 147-157.
Z39,038; M11-641g

[2] On the Lerch zeta function, Pacific J. Math., 1 (1951), 161-167.
Z43,71; M13-328b

[3] Theorems on generalized Dedekind sums, Pacific J. Math., 2 (1952), no. 1, 1-19.
Z47,45; M13-725c

[4] Quadratic residues and Bernoulli numbers, Delta (Waukesha), 1 (1968/1970), no. 4, 21-31.
Z249.10006; M42#188

[5] Dirichlet $L$-functions and character power sums, J. Number Theory 2 (1970), 223-234.
Z198.37502; M41#3412; R1970,12A85

[6] Another elementary proof of Euler's formula for $\zeta(2n)$, Amer. Math. Monthly, 80 (1973), 425-431.
Z267.10050; M47#3330

[7] Introduction to analytic number theory, Springer-Verlag, New York, 1976. xii + 338 pp.
Z335.10001; M55#7892; R1977,1A98K

[8] Modular functions and Dirichlet series in number theory, Springer-Verlag, New York, 1976. x + 198 pp.
[9] An elementary view of Euler's summation formula, Amer. Math. Monthly, 106 (1999), no. 5, 409--418.

Z332.10017; M54#10149; R1977,5A73K

APOSTOL T.M., VU THIENNU H.,
[1] Dirichlet series related to the Riemann zeta function, J. Number Theory, 19 (1984), no. 1, 85-102.
Z539.10032; M85j:11106; R1985,1A165

APPELL P.,
[1] Sur les fonctions de Bernoulli à deux variables, Arch. Math. und Phys. (3), 4 (1902), 292-293.
J34.484

[2] Sur les polynômes qui expriment la somme des puissances $p^ièmes$ des $n$ premiers nombres entiers, Nouvelles Ann. Math. (3), 6 (1887), 312-321.

[3] Sur les valeurs approchées des polynômes de Bernoulli, Nouv. Ann. Math. (3), 6 (1887), 547-554.
J19.240

ARAKAWA T.,
[1] Dirichlet series $\sum_{n=1^\infty cot(\pi n \alpha)/n^j$, Dedekind sums, and Hecke L-functions for quadratic fields, Comm. Math. Univ. St. Paul., 37 (1988), 209-235.
Z667.12006; M89i:11124

[2] Special values of L-functions associated with the space of quadratic forms and the representations of $S_p(2n, F_p)$ in the space of Siegel cusp forms. In: Automorphic forms and geometry of arithmetic varieties, 99-169, Adv. Stud. Pure Math., 15 , Academic Press, Boston, MA, 1989.
Z701.11018; M91f:11037

[3] Minkowski-Siegel's formula for certain orthogonal groups of odd degree and unimodular lattices, Comment. Math. Univ. St. Paul. 45 (1996), no. 2, 213-227.
Z873.11030; M97i:11075

ARAKAWA T., KANEKO M.,
[1] Multiple zeta values, poly-Bernoulli numbers, and related zeta functions, Nagoya Math. J. 153 (1999), 189-209.
M2000e:11113

[2] On poly-Bernoulli numbers, Comment. Math. Univ. St. Paul. 48 (1999), no. 2, 159-167.

ARAMBURU J.M. ORTEGA: see ORTEGA ARAMBURU J.M.

ARFWEDSON G.,
[1] Om Bernoullis tal och teorem, Elementa matem. fysik kemi, 71 (1988), 83-88.
R1988.12A84

ARKIN J., HOGGATT V.E.,
[1] The generalized Fibonacci numbers and its relation to Wilson's theorem, Fibonacci Quart., 13 (1975), no. 2, 107-110.
Z303.10011; M50#12900; R1975,10V247

ARLETTAZ D.,
[1] Die Bernoulli-Zahlen: eine Beziehung zwischen Topologie und Gruppentheorie. (German) [The Bernoulli numbers: a relation between topology and group theory], Math. Semesterber. 45 (1998), no. 1, 61-75.
Z892.55001; M99e:55012

ARNDT F.,
[1] Über bestimmte Integrale, Arch. Math. und Phys. (1), 6 (1845), 434-439.

[2] Entwicklung der Summen der n-ten Potenzen der natürlichen Zahlen nach den Potenzen des Index mittels des Taylor'schen Lehrsatzes, J. Reine Angew. Math., 31 (1846), 249-252.

[3] Über die Summirung der beiden Reihen (a) $\gamma_0 - n_1 \gamma_1 + n_2 \gamma_2 -$ etc. $ + (-1)^n \gamma_n$, (b) $\gamma_0 + n_1 \gamma_1 + n_2 \gamma_2 +$ etc. $ + \gamma_n$, in welchen die Grössen $\gamma$ willkührlich und die Coefficienten Binomialcoefficienten des ganzen Exponenten $n$ sind, mittels höherer Differenzen und Summen, J. Reine Angew. Math., 31 (1846), 235-245.

[4] Über die Bernoulli'sche Methode, summirbare Reihen zu finden, J. Reine Angew. Math., 31 (1846), 253-258.

ARNOL'D V.I.,
[1] Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetic, Duke Math. J., 63 (1991), no. 2, 537-555.
Z755.58015; M93b:58020

[2] Congruences for Euler, Bernoulli and Springer numbers of Coxeter groups. (Russian), Izv. Ross. Akad. Nauk Ser. Mat., 56 (1992), no. 5, 1129-1133. Engl. Transl. in: Russian Acad. Sci. Izv. Math., 41 (1993), no.2, 389-393.
Z801.11012; M94a:11024; R1993,5A167

[3] Snake calculus and the combinatorics of the Bernoulli, Euler and Springer numbers of Coxeter groups. (Russian), Uspekhi Mat. Nauk, 47 (1992), no. 1(283), 3-45. Translation in Russian Math. Surveys 47 (1992), no. 1, 1-51.
Z791.05001, 801.11012; M93h:20042

ARTIN E.: see ANKENY N.C., ARTIN E., CHOWLA S.

ATKINSON M.D.,
[1] How to compute the series expansions of $\sec x$ and $\tan x$, Amer. Math. Monthly 93 (1986), 387-389
Z603.65013; R1988,1G67

AUCOIN A.A.,
[1] On harmonic series and Bernoulli numbers, Tex. J. Sci., 27 (1976), no. 4, 411-414.
R1977,12V596

AYOUB R.,
[1] Euler and the zeta function, Amer. Math. Monthly, 81 (1974), 1067-1086.
Z293.10001; M50#12566; R1975,8A17

[2] K istorii odnogo funktsional'nogo uravneniya Ejlera (Russian) [On the history of a functional equation of Euler]. Leningr. Gos. Pedagog. In-t., Leningrad, 1986, 6 str.
R1986,7A19DEP

BABBAGE CH.,
[1] On some new methods of investigating the sums of several classes of infinite series, Philos. Trans. Roy. Soc. London, (1819), 249-282.

BABINI J.,
[1] Polinomios generalizades de Bernoulli y sus correlativos, Boletiín Sem. mat. Argentino, 4 (1934), 23-25. and Rev. mat. hisp-amer. (2), 10 (1934), 23-25.
J60.II.1041, 61.II.1166; Z11,213

[2] Generalización de los polinomios de Bernoulli, Rev. Acad. Sci. Madrid, 32 (1935), 491-500.
J61.I.378; Z13,167

BACHMANN P.,
[1] Niedere Zahlentheorie, Additive Zahlentheorie, Leipzig, 1910 / New York: Chelsea, 1968, Part 1: x+402p; Part II: x+480p.
J41.221 ; Z253.10001* ; M39#25

[2] Das Fermatproblem in seiner bisherigen Entwicklung, Walter de Gruyter & Co., Berlin-Leipzig, 1916, 160pp.
J47.105

[3] Ein Satz von den Tangentenkoeffizienten, Arch. der Math. u. Physik (3), 16 (1910), 363-365.
J41.223

BAILEY D.H., BORWEIN J.M., CRANDALL R.E.,
[1] On the Khintchine constant. Math. Comp., 66 (1997), no. 217, 417-431.
Z854.11078; M97c:11119

BAILEY D.H., BORWEIN J.M., GIRGENSOHN R.,
[1] Experimental evaluation of Euler sums. Experiment. Math., 3 (1994), no. 1, 17-30.
Z810.11076; M96e:11168

BAKER Alan,
[1] A Concise Introduction to the Theory of Numbers, Cambridge University Press, Cambridge, 1984. xiii + 95 pp.
Z554.10001; M86f:11001

BAKER A.J., CLARKE F., RAY N., SCHWARTZ L.,
[1] On the Kummer congruences and the stable homotopy of BU, Trans. Amer. Math. Soc., 316 (1989), no. 2, 385-432.
Z709.55012; M90c:55003; R1990,12A606

BAKER Andrew,
[1] A supersingular congruence for modular forms, Acta Arith. 86 (1998), no. 1, 91-100.
M99j:11066

BAKHMUTSKAYA E.Ya.,
[1] Dzhon Blissard i ego simvolicheskoye ischisleniye [John Blissard and his symbolic calculus], Trudy XIII mezhdunarodnogo kongressa po istorii nauki, sek. 5, 1971, 121-124. Nauka, Moskva, 1974.
Z296.01015; R1975,1A44

BALAN G.,
[1] Group of unit of cyclotomic field, In: Proc. Conference on Algebra. Univ. of Cluj-Napoca, Faculty of Math., Research Seminars. Preprint No. 9, 1986, 3-6.
Z691.12001; R1987,5A317

BALATONI F.,
[1] On the class number of quadratic number fields (Hungarian), Math. Lapok, (1973), 107-112.
Z326.12004 ; M53#5527; R1976,6A179

BALAZS N.L., SCHMIT C., VOROS A.,
[1] Spectral fluctuations and zeta functions, J. Statistical Physics, 46 (1987), no. 5/6, 1067-1090.
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BALK M.B.,
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BERNDT B.C.: see also ADIGA C., BERNDT B.C., et al.

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BORWEIN J.M.: see also BAILEY D.H., BORWEIN J.M., GIRGENSOHN R.

BORWEIN J.M.: see also BAILEY D.H., BORWEIN J.M., CRANDALL R.E.

BORWEIN J.M.: see also BORWEIN D., BORWEIN J.M., BORWEIN P.B., GIRGENSOHN R.

BORWEIN P.B.: see BORWEIN J.M., BORWEIN P.B.

BORWEIN P.B.: see BORWEIN J.M., BORWEIN P.B., DILCHER K.

BORWEIN P.B.: see also BORWEIN D., BORWEIN J.M., BORWEIN P.B., G IRGENSOHN R.

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CARLITZ L.: see also AL-SALAM W.A., CARLITZ L.

CARMICHAEL R.D.,
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CASTELLANOS D.,
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CHABA A.N.: see BEZERRA V.B., CHABA A.N.

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CHARKANI EL HASSANI M.,
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CHEN KWANG-WU: see EIE M., CHEN KWANG-WU

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CHEN TIAN PING,
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CHOWLA S.: see also ANKENY N.C., ARTIN E., CHOWLA S.

CHOWLA S.: see also ANKENY N.C., CHOWLA S.

CHOWLA S.: see also CHOWLA P., CHOWLA S.

CHU W.: see HSU L.C., CHU W.

CHU WEI PAN: see DANG SI SHAN, CHU WEI PAN

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COPPO M.A.: see CANDELPERGHER B., COPPO M.A., DELABAE RE E.,

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DARMON H.: see BALOG A., DARMON H., ONO K.

DAVID E.,
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DAVIS B.: see SITARAMACHANDRA RAO R., DAVIS B.

DAVIS H.T.,
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DEEBA E.Y., RODRIGUEZ D.M.,
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DELABAERE E.: see CANDELPERGHER B., COPPO M.A., DELABAERE E.,

DELANGE H.,
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DELIGNE P., RIBET K.A.,
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DELVOS F.J.,
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M86m:11105

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DENCE J.B., DENCE Th. P.,
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DENNLER G.,
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DE PESLOUAN L.,
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J47.131

DEPINE R.A.: see BANUELOS A., DEPINE R.A.

DERR L.: see OUTLAW C., SARAFYAN D., DERR L.

DESBROW D.,
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DEVANATHAN V.: see SUBRAMANIAN P.R., DEVANATHAN V.

DIAMOND J.,
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DIBAG I.,
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DICKEY L.J., KAIRIES H.H., SHANK H.S.,
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DICKSON J.D.H.: see BARNIVILLE J.J., DICKSON J.D.H., LAMPE E.

DICKSON L.E.,
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DI CRESCENZO A., ROTA G.-C.,
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DILCHER K.,
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DILCHER K., SKULA L.,
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DILCHER K., SKULA L., SLAVUTSKII I. SH.,
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DILCHER K.: see also BORWEIN J.M., BORWEIN P.B., DILCHER K.

DILCHER K.: see also AGOH T., DILCHER K., SKULA L.

DILCHER K.: see also CRANDALL R.E., DILCHER K., POMERANCE C.

DILLON J.F., ROSELLE D.P.,
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DITTRICH G.,
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DRYANOV D., KOUNCHEV O.,
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DUMONT D.: see also BARSKY D., DUMONT D.

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DUPUIS N.F.,
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EDWARDS H.M.,
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EGORYCHEV G.P.,
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EIE M., CHEN KWANG-WU
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EIE M., ONG Y.L.,
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EIE M.: see also FANG C.-H., EIE M.

EIGEL E.G., Jr.,
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EISENLOHE O.,
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ERNVALL R.: see also BUHLER J.P. et al

ESTANAVE E.,
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ESTERMANN T.,
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ETTINGSHAUSEN A.,
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EULER L.,
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EVANS R.J.: see BERNDT B.C., EVANS R.J.

EVANS R.J.: see BERNDT B.C., EVANS R.J., WILSON B.M.

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EYTELWEIN J.A.,
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FENDER W.,
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FENG KE QIN,
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FENG KE QIN, GAO W.Y.,
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FERRERO B.,
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FERRERO B., WASHINGTON L.C.,
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FIELDS J.C.,
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FIKHTENGOLTS G.M.,
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FILLEBROWN S.,
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FLAJOLET P.,
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FLAJOLET P., PRODINGER H.,
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FLAJOLET P.: see DUMAS P., FLAJOLET P.

FLETCHER A., MILLER J.C.P., ROSENHEAD L., COMRIE L.J.,
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FLOCKE S.: see BUTZER P.L., FLOCKE S., HAUSS M.

FOATA D.,
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FOATA D., SCHÜTZENBERGER M.-P.,
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FOATA D., STREHL V.,
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FOATA D.: see also ANDREWS G., FOATA D.

FOATA D.: see also DUMONT D., FOATA D.

FORDER H.G.,
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FORRESTER P.J.,
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FORT T.,
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FOUCHÉ W.,
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FOULKES H.O.,
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FOX, G.J.,
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FRAME J.S.,
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FRANÇON J., VIENNOT G.,
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FRANSÉN A.,
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FRAPPIER C.,
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FRESNEL J.,
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FRESNEL J.: see also AMICE Y., FRESNEL J.

FRICKE A.,
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FRIEDMAN E.C.,
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FRIEDMAN E., SANDS J. W.,
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FRIEDMANN A.A., TAMARKINE J.,
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FROBENIUS G.,
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FUETER R.,
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FUJII A.,
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FUJIWARA M.,
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FUKUHARA S.,
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FUNG. G., GRANVILLE A., WILLIAMS H.C.,
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GAJDA W.: see BANASZAK G., GAJDA W.

GAMBIOLLI D.,
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GANDHI J.M.,
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GANDHI J.M., GADIA S.K.,
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GANDHI J.M., KASUBE H., SURYANARAYANA D.,
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GANDHI J.M., SINGH A.,
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GANDHI J.M., TANEJA V.S.,
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GAO W.Y.: see FENG KE QIN, GAO W.Y.

GARABEDIAN H.L.,
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GARDINER A.,
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GAWRILOWISCH A.,
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GEGENBAUER L.,
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GELFAND M.B.,
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GELFOND A.O.,
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GENG JI,
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GENOCCHI A.,
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GESSEL I.,
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GESSEL I., MATTICS L.E.,
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GESSEL I.: see also ANDREWS G., GESSEL I.

GILBERT Ph.,
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GILLARD R.,
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GILLARD R.: see also CHARKANI EL HASSANI M., GILLARD R.

GILLESPIE F.S.,
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GIRGENSOHN R.: see BAILEY D.H., BORWEIN J.M., GIRGENSOHN R.

GIRGENSOHN R.: see also BORWEIN D., BORWEIN J.M., BORWEIN P.B., GIRGENSOHN R.

GIRSTMAIR K.,
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[3] An index formula for the relative class number of an abelian number field, J. Number Theory, 32 (1989), no. 1, 100-110.
Z675.12002; M91d:11132; R1990,2A333

[4] A theorem on the numerators of the Bernoulli numbers, Amer. Math. Monthly, 97 (1990), no. 2, 136-138.
Z738.11023; M91a:11015; R1990,11A83

[5] Dirichlet convolution of cotangent numbers and relative class number formulas, Monatsh. Math., 110 (1990), no. 3/4, 231-256.
Z717.11048; M92b:11076; R1991,7A291

[6] Eine Verbindung zwischen den arithmetischen Eigenschaften verallgemeinerter Bernoullizahlen, Expos. Math., 11 (1993), 47-63.
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[7] On the factorization of the relative class number in terms of Frobenius divisions. Monatsh. Math., 116 (1993), no. 3-4, 231-236.
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[8] The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8 and 10. Math. Comp., 61 (1993), no. 204, 881-887.
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[9] Class number factors and distribution of residues, Abh. Math. Sem. Univ. Hamburg, 67 (1997), 65-104.
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GLAISHER J.W.L.,
[1] On the constants that occur in certain summations by Bernoulli's numbers, Proc. Lond. Math. Soc., 4 (1872), 48-56.
J4.109

[2] On a deduction from Von Staudt's property of Bernoulli's numbers, Proc. Lond. Math Soc., 4 (1872), 212-214.
J4.109

[3] On the function which stands in the same relation to Bernoulli's numbers that the gamma function does to factorials, Report Brit. Assoc., 42 (1872), 17-19.
J4.72

[4] On semi-convergent series, Quart. J. Math., 12 (1872), 52-58.
J4.102

[5] Tables of the first 250 Bernoulli's numbers (to nine figures) and their logarithms (to ten figures), Trans. Camb. Phil. Soc., 12 (1873), 384-391.
J5.144

[6] Simple proof of a known property of Bernoulli's numbers, Messeng. Math. (2), 2 (1873), 190-191.
J5.144

[7] Arithmetical proof of Clausen's Identity, Messeng. Math. (2), 6 (1875), 83.
J7.132

[8] Expressions for Laplace's coefficients, Bernoullian and Eulerian numbers, etc., as determinants, Mess. Math., 6 (1877), 49-63; 7 (1878), 160-165; 8 (1879), 158-167.
J8.306

[9] On the numerical value of a certain series, Proc. London Math. Soc., 8 (1877), 200-204.
J9.181

[10] Theorem relating to sums of even powers of the natural numbers, Messeng. Math., 20 (1890), 120-128.
J22.269

[11] Note on series whose coefficients involve powers of the Bernoullian numbers, Messeng. Math., 19 (1890), 138-146.
J22.269

[12] Recurring relations involving sums of powers of divisors, Messeng. Math., 20 (1891), 129-135; 177--181; 21, 49-64.
J23.177

[13] Note on the sums of even and uneven numbers, Messeng. Math., 20 (1891), 172-176.
J23.269

[14] On the sums of inverse powers of the prime numbers, Quart. J. Math., 25 (1891), 347-362.
J23.275

[15] Calculation of the hyperbolic logarithm of $\pi$ to thirty decimal places, Quart. J. Math., 25 (1891), 362-368, 384.
J23.277

[16] On the series $\frac{1}{2}+\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+ \frac{1}{11}+\&c.$, Quart. J. Math., 25 (1891), 369-383.

[17] Relations between the divisors of the first $n$ numbers, Proc. London Math. Soc., 22 (1891), 359-410.
J23.177

[18] On the definite integrals connected with the Bernoullian function, Mess. Math., 26 (1897), 152-182; 27 (1898), 20-98.

[19] On the Bernoullian function, Quart. J. Pure Appl. Math., 29 (1898), 1-168.
J28.375

[20] Note on a theorem relating to sums of even powers of the natural numbers, Messeng. Math. (2), 28 (1899), 29-32.
J29.220

[21] Classes of recurring formulae involving Bernoullian numbers, Messeng. Math., 28 (1899), 36-79.
J29.220

[22] On the values of the series $x^n + (x-q)^n+(x-2q)^n+...+r^n$ and $x^n-(x-q)^n+(x-2q)^n -...\pmr^n$, Quart. J. Math., 31 (1899), 193-227.
J30.254

[23] On $1^n(x-1)^n+2^n(x-2)^n+...+(x-1)^n1^n$ and other similar series, Quart. J. Math., 31 (1899), 241-247.
J30.254

[24] On the residues of the sums of the inverse powers of numbers in arithmetical progression, Quarterly J. Math., 32 (1900), 271-288.
J31.186

[25] Fundamental theorem relating to the Bernoullian numbers, Messeng. Math., 29 (1900), 49-63; 129-142.
J30.182; 31.287

[26] On the residues of the sums of products of the first $p-1$ numbers and their powers, to modulus $p^2$ or $p^3$, Quart. J. Math., 31 (1900), 321-353.
J31.195

[27] A congruence theorem relating to the Bernoullian numbers, Quart. J. Math., 31 (1900), 253-263.
J30.180

[28] Note on the residues of the ratios of certain series of inverse powers of numbers in arithmetical progression, Mess. Math., 30 (1901), 154-162.

J30.200

[29] On the residue to modulus p, of $1+1/3^{2n}+1/5^{2n}+...+1/(p-2)^{2n}$, Mess. Math., 30 (1901), 26-31.

[30] A general congruence theorem relating to the Bernoullian function, Proc. London Math. Soc., 33 (1901), 27-56.
J32.199

[31] On the residues of Bernoullian functions for a prime modulus, including as special cases the residues of Bernoullian, Eulerian and J-Numbers, Proc. London Math. Soc., 33 (1901), 56-87.
J32.199

[32] On a class of relations connecting any n consecutive Bernoullian functions, Part III. Quart. J. Pure Appl. Math., 42 (1911), 86-157.
J41.495

[33] On $1^n(x-1)^m+...+(x-1)^n1^m$ and other similar series, Quart. Journ. Math., 43 (1912), 101-122.
J43.340

[34] A congruence theorem relating to Eulerian numbers and other coefficients, Proc. London Math. Soc., 32 (1901), 171-198.

[35] Expansion of $(e^x-a)^{-1}$ and derived formulae; also values of $(d/d\theta)^n\tan \theta$, Mess. Math. (2), 39 (1910), 154-173.
J41.497

[36] Bernoullian numbers and other coefficients expressed in terms of numbers of the form $\Delta^n 0^n$, Quart. J. Pure Appl. Math., 41 (1910), 265-301.
J41.495

[37] On the last two figures in certain coefficients analogous to the Eulerian numbers, Quart. J. Pure Appl. Math., 44 (1913), 105-112.
J44.320

[38] On Eulerian numbers (formulae, residues, endfigures) with the values of the first twenty-seven, Quart. J. Pure Appl. Math., 45 (1913), 1-51.
J44.320

[39] Numerical values of the series $1-\frac{1}{3^n}+\frac{1}{5^n}- \frac{1}{7^n}+\frac{1}{9^n}-$ \&c., Mess. Math. (2), 42 (1913), 35-58.

GOHIERRE DE LONGCHAMPS: see LONGCHAMPS G.

GOLD R.: see CHILDRESS N., GOLD R.

GOLDSTEIN L.J., RAZAR M.J.,
[1] Ramanujan type formulae for $\zeta (2k-1)$, J. Pure Appl. Algebra, 13 (1978), no. 1, 13-17.
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[2] The theory of zeta functions of several complex variables, I, J. Number Theory, 19 (1984), no. 2, 148-175.
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GOLOVINSKII I.A.
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Z518.01004; M84k:01029; R1985,7A10

GOMES TEIXEIRA F.: see TEIXEIRA F.G.

GÖPEL A.,
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GOSPER R.W., ISMAIL M.E.H., ZHANG R.,
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Z793.33016; M95g:33025

GOSS D.,
[1] Von Staudt for $F_q(T)$, Duke Math. J., 45 (1978), no. 4, 887-910.
Z404.12013; M80a:12019; R1979,9A338

[2] The $\Gamma$-ideal and special zeta-values, Duke Math. J., 47 (1980), no. 2, 345-364.
Z441.12002; M81k:12015; R1981,3A338

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Z(427.30005),448.10032; M82e:10069; R1982,1B51

[4] Kummer and Herbrand criteria in the theory of function fields, Duke Math. J., 49 (1982), no. 2, 377-384.
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GOSSET Th.,
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J42.208

GOTO K.,
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GOULD H.W.,
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[2] Note on recurrence relations for Stirling numbers, Publ. Inst. Math. (Beograd) (N.S.), 6 (20) (1966), 115-119.
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[3] Explicit formulas for Bernoulli numbers, Amer. Math. Monthly, 79 (1972), 44-51.
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[4] Bibliography of aritcles on the special number sequences of Bernoulli, Stirling, Euler, Worpitzky, etc., unpublished cardfile, 1971.

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GOULD H.W., SQUIRE W.,
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Z116,92; M26#4073; R1963,12B27

GRAF J. H.,
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GRAHAM R.L., KNUTH D.E., PATASHNIK O.,
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GRANVILLE A.,
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GRANVILLE A., MONAGAN M.B.,
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GRANVILLE A., SHANK H.S.,
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GRANVILLE A., SUN ZHI-WEI,
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Z856.11008; M98b:11018; R1997,11A142

GRANVILLE A.: see also ALMKVIST G., GRANVILLE A.

GRANVILLE A.: see also FUNG G., GRANVILLE A., WILLIAMS H.C.

GRAS G.,
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[3] Pseudo-mesures p-adiques associées aux fonctions L de Q, Manuscr. Math., 57 (1987), no. 4, 373-415.
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[4] Relations congruentielles linéaires entre nombres de classes de corps quadratiques, Acta Arith., 52 (1989), no. 2, 147-162.
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[5] Sur la structure des groupes de classes relatives. Avex un appendice d'exemples numériques (par T. Berthier). Ann. Inst. Fourier, 43 (1993), no. 1, 1-20.
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GRAS G., JAULENT J.-F.,
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GRASSL R. M.,
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GRAVE D.A.
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GREENBERG R.,
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[2] On p-adic L-functions and cyclotomic fields, Nagoya Math. J., 56 (1974), 61-77.
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[3] On the Jacobian variety of some algebraic curves, Compositio Math. 42 (1980/81), no. 3, 345-359.
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GREENBERG R.: see also FERRERO B., GREENBERG R.

GREITHER C.,
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GRENSING D., GRENSING G.,
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GRIGOREV E.I.,
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GROSJEAN C.C.,
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GROSS B.H.,
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[2] Arithmetic on elliptic curves with complex multiplication, Lecture Notes in Math., No. 776, Berlin, (1980), 95pp.
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Z681.12005; M89h:11071; R1988,10A317

GROSS B.H.: see also BUHLER J.P., GROSS B.H.

GROSSWALD E.,
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[4] Relations between the values of zeta and L-functions at integral arguments, Acta Arith., 24 (1973), 369-378.
Z242.12008; M48#11005

GROSSWALD E.: see also RADEMACHER H., GROSSWALD E.

GRUDER, O.,
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J46.I.603

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[4] Über symmetrische Grundfunktionen natürlicher Zahlen, J. Reine Angew. Math., 161 (1929), 152-178.
J55.I.94

GRÜN O.,
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J60.I.128; Z8,242

[2] Eine Kongruenz für Bernoullische Zahlen, Jahresber. Deutsch. Math.-Verein., 50 (1940), 111-112.
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GRUNDMAN H.G.,
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GRUNERT J.A.,
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GUARESCHI G.,
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GUINAND A.P.,
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GUNARATNE H.S.,
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GUNDERSON N.G.,
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GÜNTHER S.,
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GUO D.R.: see WANG Z.X., GUO D.R.

GUO-NIN: see HAN, GUO-NIN

GUO LIZHOU: see ZHANG ZHIZHENG, GUO LIZHOU

GUPTA H.,
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[2] On the numbers of Ward and Bernoulli, Proc. Indian Acad. Sci. A, 3 (1936), 193-200.
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GUPTA S.: see PRABHAKAR T.R., GUPTA S.

GUT M.,
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[2] Eulersche Zahlen und Klassenzahl des Körpers der 4l-ten Einheitswurzeln, Comm. Math. Helv., 25 (1951), 43-63.
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GUT M., STÜNZI M.,
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GYIRES B.,
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GYÖRY K., TIJDEMAN R., VOORHOEVE M.,
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HADAMARD J.,
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HAIGH C.W.,
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HALL T.G.,
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HAN GUO-NIU,
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HAN GUO-NIU, ZENG JIANG,
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HAN G.-N.; RANDRIANARIVONY A.; ZENG J.,
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JACOBSTHAL E.: see also BRUN V., JACOBSTHAL E., SELBERG A., SIEGEL C.

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JAULENT J.-F.: see GRAS G., JAULENT J.-F.

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JIANG ZENG: see RANDRIANARIVONY A., JIANG ZENG

JIN JINGYU: see ZHANG ZHIZHENG, JIN JINGYU

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JOSHI J.M.C.: see SRIVASTAVA H.M., JOSHI J.M.C., BISHT C.S.

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KAIRIES H.H.: see also DICKEY L.J., KAIRIES H.H., SHANK H.S.

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KANEMITSU S., SITARAMACHANDRA RAO R.,
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KANEMITSU S.: see also ISHIBASHI M., KANEMITSU S.

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KARAMATSU Y.:see also ABE S., KARAMATSU Y.

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KHOVANSKII A.N.,
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KIM E.E., TOOLE B.A.,
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KIM HAN SOO, KIM TAEKYUN,
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KIM HAN SOO, LIM PIL-SANG, KIM TAEKYUN,
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KIM JAE MOON,
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KIM TAEKYUN,
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KIM TAEKYUN: see also KIM HAN SOO, KIM TAEKYUN

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KIMURA N.,
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[3] On the degree of an irreducible factor of the Bernoulli polynomials, Acta Arith., 50 (1988), no. 3, 243-249.
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KIMURA N., SIEBERT H.,
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KING, AUGUSTA ADA,
[1] Notes by the translator. (On L. F. Menabrea, "Sketch of the Analytical Engine Invented by Charles Babbage Esq."). In Richard Taylor (Ed.), Scientific Memoirs, Vol. III, Richard and John E. Taylor, London, 1843.

KINKELIN H.,
[1] Ueber eine mit der Gammafunction verwandte Transcendente und deren Anwendung auf die Integralrechnung. J. Reine Angew. Math., 57 (1860), 122-138.

KIRIYAMA H.: see ORIGUCHI T., KIRIYAMA H., MATSUOKA Y.

KIRSCHENHOFER P., PRODINGER H.,
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KIRSTEN K.,
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KISELEV A.A.,
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[2] Vyrazhenie chisla klassov kvadratichnykh polej cherez chisla Bernulli [An expression for the number of classes of ideals of quadratic fields by means of Bernoulli numbers]. Nauchn. sessiya Leningradsk. Gos. Universiteta, Tezisy dokladov po sektsii Mat. Nauk, (1948), 37-39.

[3] O nekotorykh sravneniyakh chisla klassov idealov veshchestvennykh polej [On some congruences for the numbers of classes of ideals of real quadratic fields]. Uch. zap., Leningradsk. Gos. Universiteta, ser. mat. nauk, (1949), no. 16, 20-31.

[4] On the commumication "On the determination of the sum of quadratic residues of a prime $p= 4m+3$ by means of Bernoulli numbers" (Russian) In: Voronoi, G.F., Sobranie sochinenii v trekh tomakh. (Russian) [Collected works in three volumes.] Vol. III, Kiev, 1953, 203-204.
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KISELEV A.A., SLAVUTSKII I.SH.,
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[2] Some congruences for the number of representations as sums of an odd number of squares. (Russian) Dokl. Akad. Nauk. SSSR, 143 (1962), 272-274.
Z121,264; M26#3687; R1962,10A73

[3] The transformation of Dirichlet's formulas and the arithmetical computation of the class number of quadratic fields. (Russian) 1964 Proc. Fourth All-Union Math. Congr. (Leningrad, 1961), Vol.II, pp. 105-112, Izdat. "Nauka", Leningrad.
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[4] Rol' teorii chisel i mnogochlenov Bernulli v teorii chisel [The role of the theory of Bernoulli numbers and polynomials in number theory]. Tezisy dokl. konf. Leningradsk. otdeleniya Sovetsk. nats. ob'edineniya istorikov estestvoznaniya i tekhniki, Leningrad, (1966), 9.

[5] Chislo klassov idealov kvadratichnogo polya i chisla Bernulli [The number of classes of ideals of a quadratic field and Bernoulli numbers]. Tezisy sektsyii No. 3 Mezhdunarodn. kongressa matematikov, Moskva, (1966), 15-16.

KISHORE N.,
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Z117,299; M27#1633; R1964,5B48

[2] A representation of the Bernoulli number $B_n$, Pacific J. Math., 14 (1964), 1297-1304.
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[3] Congruence properties of the Rayleigh functions and polynomials, Duke Math. J., 35 (1968), 557-562.
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KLEBOTH H.,
[1] Untersuchung über Klassenzahl und Reziprozitätsgesetz im Körper der 6l-ten Einheitswurzeln und die Diophantische Gleichung $x^{2l}+3ly^{2l}=z^{2l}$ für eine Primzahl $l$ grösser als 3, Dissertation, Univ. Zürich, 1955, 37 pp.
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KLINE M.,
[1] Euler and infinite series, Math. Mag., 56 (1983), no. 5, 301-315.
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KLINOWSKI J.: see CVIJOVIC D., KLINOWSKI J.

KLUYVER J.C.,
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J31.198

[2] Ontwikkelingscoëfficiënten, die eenige overeenkomst met de getallen van Bernoulli vertoonen, Nieuw Arch. Wisk. (2), 5 (1901), 249-254.
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[3] An analytical expression for the greatest common divisor of two integers, Proc. Royal Acad. Amsterdam, 5 (1903), 658-662.

[4] Über die Summen der gleich hohen inversen Potenzen der ganzen Zahlen, Handl. Neder. Nat. en Geneesk. Congr., 10 (1905), 181-184 . (original title: Over de sommen van gelijknamige machten der omgekeerden van de geheele getallen).
J36.341

[5] Verallgemeinerung einer bekannten Formel, Nieuw Arch. Wisk. (2), 4 (1899/1900), 284-291.
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KNAR J.,
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KNOPP K.,
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KNUTH D.E.,
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KNUTH D.E., BUCKHOLTZ T.J.,
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Z178,44; M36#4787; R1968,6B856

KNUTH D.E.: see also GRAHAM R.L., KNUTH D.E., PATASHNIK O.

KOBELEV V.V.,
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KOBLITZ N.,
[1] p-adic numbers, p-adic analysis and zeta-functions, Springer-Verlag, New York, 1977. (Russk. perevod 83i:12013).
Z364.12015*; M57#5964; R1978,8A366K

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[3] A new proof of certain formulas for p-adic L-functions, Duke Math. J., 46 (1979), 455-468.
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[4] p-adic analysis: a short course on recent works, London Math Soc. Lecture Note Series, No. 46, 1980.
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[5] On Carlitz's q-Bernoulli numbers, J. Number Theory, 14 (1982), no. 3, 332-339.
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[7] Introduction to elliptic curves and modular forms, Graduate Texts in Mathematics No. 97. Springer-Verlag, New York- Berlin, 1984. viii + 248pp.
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[8] p-adic congruences and modular forms of half integer weight, Math. Ann., 274 (1986), no. 2, 199-220.
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[9] Congruences for periods of modular forms, Duke Math. J., 54 (1987), no. 2, 361-373.
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[10] Jacobi sums, irreducible zeta-polynomials and cryptography. Canad. Math. Bull., 34 (1991), no. 2, 229-235.
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KOCH H.,
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[2] Introduction to classical mathematics. I. From the quadratic reciprocity law to the uniformization theorem. Mathematics and its Applications, 70. Kluwer Akademic Publ., Dordrecht, 1991. xviii+453pp.
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KOECHER M.: see EBBINGHAUS H.-D. et al.

KOEPF W.,
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KÖHLER G.,
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KOHNEN W.,
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KOHNEN W., ZAGIER D.,
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KOLK J.A.C.: see BEUKERS F., KOLK J.A.C., CALABI E.

KOLSCHER M.,
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KOLSTER M.,
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KOLYVAGIN V.A.,
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[2] Fermat equations over cyclotomic fields, Proc. Steklov Inst. Math., 208 (1995), 146-165; translation from Tr. Mat. Inst. Steklova, 208 (1995), 163-185.
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KORTEWEG D.J.,
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J8.134

KOSEKI H.: see HASHIMOTO K., KOSEKI H.

KOSHLYAKOV N.S.,
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[2] Remarks on the paper of I.J. Schwatt "The sum of like powers of a series of numbers forming an arithmetical progression and the Bernoulli numbers." (Russian), Mat. Sb., 40 (1933), 528.
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KOTIAH T.C.T.,
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KOUNCHEV O.: see DRYANOV D., KOUNCHEV O.

KOUTSKY K.,
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KOZUKA K.,
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[5] On the $\mu$-invariants of certain $p$-adic $L$-functions attached to the formal multiplicative group. Res. Rep. Miyakonojo Nat. Coll. Technol., 1994, no. 28, 1-10.
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KRAFT J. S.,
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KRALL H.L.,
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KRAMER D.,
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KRASNER M.,
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J60.I.129; Z10,007

KRAUSE M.,
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J33.971

[2] Über Bernoulische Zahlen und Funktionen im Gebiete der Funktionen zweier veränderlicher Grössen, Berichte Verh. Kgl. Gesells. Wiss., Leipzig, 55 (1903), 39-62.
J34.485

[3] Zur Theorie der Eulerschen und Bernoullischen Zahlen, Monatsh. Math. Phys., 14 (1903), 305-324.
J34.483

[4] Über die Bernoullische Funktion zweier veränderlicher Grössen, Arch. Math. und Phys. (3), 4 (1903), 293-295.
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KREWERAS G.,
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KRICK M.S.,
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Z105,264; R1961,6B334

KRIEG A.: see EIE M., KRIEG A.

KRISHNAMACHARY C., BHIMASENA RAO M.,
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J49.167

KRONECKER L.,
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[2] Démonstration d'un Théorème de Kummer, J. Math. Pure Appl., (2), 1 (1856), 396-398.

[3] Über die Bernoullischen Zahlen (Bermerkungen zu der Abhandl. des Herrn Worpitzky), J. Reine Angew. Math., 94 (1883), 268-270.
J15.201

[4] Über eine bei Anwendung partieller Integration nützliche Formel, Sitz. Kgl. Preuss. Akad. Wiss., Berlin, (1885), 841-862.
J17.251

KROUKOVSKI B.V.,
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KUBERT D.S.,
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[2] The 2-divisibility of the class number of cyclotomic fields and the Stickelberger ideal, J. Reine Angew. Math., 369 (1986), 192-218.
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KUBERT D., LANG S.,
[1] Cartan-Bernoulli numbers as values of L-series, Math. Ann., 240 (1979), no. 1, 21-26.
Z(377.12010),393.12020; M81b:10027; R1979,7A404

[2] Modular units inside cyclotomic units, Bull. Soc. Math. France, 107 (1979), fasc. 2, 161-178.
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[3] Modular units, Springer-Verlag, New York-Berlin, 1981, xiii + 358pp. (Grundl. Math. Wiss., No. 244.)
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KUBOTA T., LEOPOLDT H.W.,
[1] Eine p-adische Theorie der Zetawerte, Teil 1: Einführung der p-adischen Dirichletschen L-Funktionen, J. Reine Angew. Math., 214/215 (1964), 328-339.
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KUDO A.,
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[2] On generalization of a theorem of Kummer, Mém Fac. Sci. Kyushu Univ., Ser. A, 29 (1975), no. 2, 255-261.
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KUDRYAVTSEV V.A.,
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KUHN P.,
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J67.131; M8-503d

KUMMER E.E.,
[1] Beweis des Fermat'schen Satzes der Unmöglichkeit von $x^{\lambda}+y^{\lambda}=z^{\lambda}$ für eine unendliche Anzahl Primzahlen $\lambda$, Monatsb. Akad. Wiss. Berlin, (1847), 132-141, 305-319.

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[3] Allgemeiner Beweis des Fermat'schen Satzes, dass die Gleichung $x^{\lambda}+y^{\lambda}=z^{\lambda}$ durch ganze Zahlen unlösbar ist, für alle diejenigen Potenz-Exponenten $\lambda$, welche ungerade Primzahlen sind und in den Zählern der ersten $({\lambda}-3)/2$ Bernoulli'schen Zahlen als Factoren nicht vorkommen, J. Reine Angew. Math., 40 (1850), 131-138.

[4] Mémoire sur la théorie des nombres complexes composés de racines de l'unité et de nombres entiers, J. Math. Pure Appl., 16 (1851), 377-498.

[5] Über eine allgemeine Eigenschaft der rationalen Entwicklungscoefficienten einer bestimmten Gattung analytischer Functionen, J. Reine Angew. Math., 41 (1851), 368-372.

[6] Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen, J. Reine Angew. Math., 44 (1852), no. 2, 93-146.

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[8] Einige Sätze über die aus den Wurzeln der Gleichung $\alpha^{\lambda} = 1$ gebildeten complexen Zahlen, für den Fall, dass die Klassenzahl durch $\lambda$ theilbar ist, nebst Anwendung derselben auf einen weiteren Beweis des letzten Fermats'chen Lehrsatzes, Abhandl. Akad. Wiss. Berlin, Math., (1857), (1858), 41-74. (See also Auszug, Monatsb. Akad. Wiss. Berlin, (1857), 275-282.)

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J6.117

[10] Die Briefe an Leopoldt Kronecker, Abhandl. zur Geschichte der Math. Wiss., Leipzig, (1910), Heft 29.
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KUNDERT E.G.,
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KUO HUAN-TING,
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KURIHARA A.,
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KURIHARA F.,
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KURIHARA M.,
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KURT V.,
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KÜTTNER W.,
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KUZMIN L.V.,
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KUZNETSOV A. G., PAK I. M., POSTNIKOV A. E.,
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KUZUMAKI T.: see KANEMITSU S., KUZUMAKI T.

KWON SOUN-HI: see CHANG KU-YOUNG, KWON SOUN-HI

LAFORGIA A.,
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LAGRANGE R.,
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J54.484

LAI K.F.: see EIE M., LAI K.F.

LAMPE E.,
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J9.176

LAMPE E.: see also BARNIVILLE J.J., DICKSON J.D.H., LAMPE E.

LAN YIZHONG,
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Z165,365; M39#168; R1969,10A72

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LANG S.,
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[2] Introduction to Modular Forms, Springer-Verlag, Berlin, 1976, Ch. 6, 10, 13.
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[4] Cyclotomic fields. II. Graduate Texts in Mathematics, 69. Springer-Verlag, New York, 1980.
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[5] Units and class groups in number theory and algebraic geometry, Bull. Amer. Math. Soc., 6 (1982), no. 3, 253-316.
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[6] Introduction to Arakelov theory. Springer-Verlag, New York-Berlin, 1988. x+187 pp.
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LANG S.: see also KUBERT D., LANG S.

LANGMANN K.,
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LAPLACE P.-S.,
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LASSÁK M.: see JAKUBEC S., LASSÁK M.

LE MAOHUA,
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LE BESGUE V.A.,
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LE BIHAN P.,
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LECLERC M.: see BUTZER M. et al

LEE JUNGSEOB,
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LEEMING D.J.,
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LEEMING D.J., MACLEOD R.A.,
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LEGENDRE A.M.,
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LEHMER D.H., LEHMER E., VANDIVER H.S.,
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Z55,40; M15-778f; R1955,1638

LEHMER E.,
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J56.106

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J64.II.95; Z19,005

LEHMER E.: see also LEHMER D.H., LEHMER E., VANDIVER H.S.

LE LIDEC P.,
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LÉMERAY E.M.,
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J32.283

LENSE J.,
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LEOPOLDT H.W.,
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LEOPOLDT H.W.: see also KUBOTA T., LEOPOLDT H.W.

LE PAIGE C.: see le PAIGE C.

LEPKA K.,
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LERCH M.,
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LETTL G.,
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LEVINE J.: see CARLITZ L., LEVINE J.

LI JIAN YU: see CHEN JING RUN, LI JIAN YU

LICHTENBAUM St.,
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le LIDEC P.: see LE LIDEC P.

LIÉNARD R.,
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M10-149i

LIGOWSKI W.,
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J12.191

LIKHIN V.V.,
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R1961,4A29

[3] Teoriya chisel i funktsij Bernulli i ee razvitie v trudakh otechestvennykh matematikov [The theory of numbers and functions of Bernoulli, and its development in the works of Soviet and Russian mathematicians]. Istoriko-mat. issledovaniya 12 (1959), 59-134.
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[4] Ob obobshchennykh chislakh i funktsiyakh Bernulli [On generalized numbers and functions of Bernoulli] (Ukrainian). Nauchn. zap. Poltavsk. pedagogichesk. instituta, fiz.-mat. ser. 13 (1963), no. 2, 3-21.
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[5] Prilozhenie chisel Bernulli k teorii chisel [Application of Bernoulli numbers in number theory] (Ukrainian). Nauchn. zap. Poltavsk. pedagogichesk. instituta, fiz.-mat. ser. 13 (1963), no. 2, 22-31.
R1964,6A31

LIM PIL-SANG: see KIM HAN SOO, LIM PIL-SANG, KIM TAEKYUN

LINDELÖF E.,
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J36.468

LIPSCHITZ R.,
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LIU BO LIAN,
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LIU GUO DONG,
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LJUNGGREN W.,
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LOBACHEVSKII N.I.,
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LOEB D.E.,
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LÖH G.: see KELLER W., LÖH G.

LOHNE J.,
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LONGCHAMPS G.,
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LOVELACE, Augusta Ada, Countess of: see KING, AUGUSTA ADA

LU HONG-WEN,
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LUCAS E.,
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J8.143

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J10.191

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[12] Sur les nouvelles formules de MM. Seidel et Stern, concernant les nombres de Bernoulli, Bull. Soc. Math. France, 8 (1880), 169-173.
J12.194

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J23.197

LUCAS E., CATALAN E.,
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LURSMANASHVILI A.P.,
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Z174,74; M35#6613; R1967,11V243

LYCHE R.T.: see TAMBS LYCHE R.

MACLEOD R.A.,
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MACLEOD R.A.: see LEEMING D.J., MACLEOD R.A.

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MAGNUS W.: see ERDÉLYI A., MAGNUS W., OBERHETTINGER F., TRICOMI F.

MAHON BR. J.M., HORADAM A.F.,
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MAINZER K.: see EBBINGHAUS H.-D. et al.

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MALLET C.-A.,
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MANIN Yu.I., PANCHISHKIN A.A.,
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MARKETT C.: see BUTZER P.L., MARKEETT C., SCHMIDT M.

MARKOV A.A.,
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[3] (A.A. Markoff) Differenzenrechnung. Teubner, Leipzig, 1896.
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MARSAGLIA G., MARSAGLIA J.C.W.,
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MARTINET J.,
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MATHAI A.M., PEDERZOLI G.,
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MATIYASEVICH Yu.V.,
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MATSUMOTO K.: see KATSURADA M., MATSUMOTO K.

MATSUOKA Y.,
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[2] A table of the explicit formulas for the sums of powers $S_p(n) = \sum_{k=1}^n k^p$ for $p=62(1)99$. Rep. Fac. Sci. Kogashima Univ. Math. Phys. Chem., 22 (1990), 73-132.
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[3]A table of the explicit formulas for the sums of powers $S_p(n) = \sum_{k=1}^n k^p$ for $p=100(1)119$. Rep. Fac. Sci. Kagoshima Univ. Math. Phys. Chem., 23 (1990), 41-100.
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MATSUOKA Y.: see also ORIGUCHI T., KIRIYAMA H., MATSUOKA Y.

MATTER K.,
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MATTICS L.E.: see GESSEL I., MATTICS L.E.

MAZUR B.,
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MAZUR B., WILES A.,
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[2] Class fields of abelian extensions of Q, Invent. Math., 76 (1984), no. 2, 179-330.
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