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Ma, Yuan Kui; Zhang, Tian Ping,
[1] An identity involving the first-kind Chebyshev polynomials and the Euler
numbers. (Chinese)
J. Ningxia Univ. Nat. Sci. Ed. 27 (2006), no. 1, 13-14, 17.
MACLAURIN C.,
[1] A treatise of fluxions, Edinburgh, 1742.
MACLEOD R.A.,
[1] Fractional part sums and divisor functions,
J. Number Theory 14 (1982), no. 2, 185-227.
Z481.10044; M83m:10080
[2] A curious identity for the Möbius function,
Utilitas Math., 46 (1994), 91-95.
Z821.11053; M95g:11002
MACLEOD R.A.: see LEEMING D.J., MACLEOD R.A.
MADHEKAR H.C.,
[1] Some results in unified form for classes of generalized
Bernoulli, Euler, and related polynomials, J. Indian Acad. Math., 4
(1982), no. 2, 104-112.
Z516.33010; M84e:33021
MADSEN I.: see BENTSEN S., MADSEN I.
MAEDA Y.,
[1] Generalized Bernoulli numbers and congruence of modular forms,
Duke Math. J., 57 (1988), no. 2, 673-696.
Z664.10012; M89m:11042; R1989,6A92
MAESS G.,
[1] Vorlesungen über numerische Mathematik. II. Analysis.
Akademie-Verlag, Berlin, 1988, and Birkhäuser Verlag
Basel-Boston, 1988, 327 pp.
Z644.65001; M91a:65003; R1989.6G14K
MAGNUS W.: see ERDÉLYI A., MAGNUS W., OBERHETTINGER F., TRICOMI F.
MAHON BR. J.M., HORADAM A.F.,
[1] Infinite series summation involving reciprocals of
Pell polynomials. In: Fibonacci Numbers and Their Applications
(A.N. Philippou et al., Eds.), D. Reidel Publ. Co., Dordrecht,
1986, 163-180.
Z592.10010; M88b:11011
MAIER W.,
[1] Euler-Bernoullische Reihen,
Math. Z., 30 (1929), 53-78.
J55.0782.02
[2] Bernoullische Polynome und elliptische Funktionen.
J. Reine Angew. Math., 164 (1931), 85-111.
J57.0441.03; Z1.28203
MAINZER K.: see EBBINGHAUS H.-D. et al.
MALAISE J.,
[1] Sur une formule d'approximation pour les nombres de Bernoulli
très grands, Nouv. Ann. Math. (4), 14 (1914), 174-179.
J45.0677.01
MALLET C.-A.,
[1] Calcul des dalles encastrées. Application des polynomes de Bernoulli,
C. R. Acad. Sci. Paris A, 268 (1969), 974-977.
Z181.52605
MALLOCH L.,
[1] Bernoulli-Padé numbers and polynomials.
M.Sc. thesis, Dalhousie University, Halifax, Nova Scotia, 1996. 80pp.
MALLOCH L.: see also DILCHER K., MALLOCH L.
MALMSTÉN C.J.,
[1] Note sur l'integrale finite $\Sigma e^x y$,
Arch. Math. und Physik, 6 (1845), 41-45.
[2] Sur la formule $hU^{\prime}_x = \Delta U_x - {h\over 2} {\Delta} U^{\prime}_x + B_1{h^2\over 2} {\Delta} U^{\prime \prime}_x$ etc., J. Reine Angew. Math., 35 (1847), 55-82.
MAMBRIANI A.,
[1] Sugli sviluppi, dati dallo Schwatt, di $\sec^p x$ e $\tg^p x$. (Italian)
Boll. Unione Mat. Ital. 10 (1931), 17-20.
Z001.13501
[2] Saggio di una nuova trattazione dei numeri i dei
polinomi di Bernoulli e di Euler.
Mem. R. Accad. Italia Mat., 3 (1932), no.4, 1-36.
J58.0376.05; Z6.05103
MANDL M.,
[1] Ueber die Summirung einiger Reihen.
Sitzungsber. Math.-Natur. Kl. Akad. Wiss., Wien, 94 (1886), 947-955.
J18.0231.01
MANGEOT S.,
[1] Sur les nombres de Bernoulli, Ann. Fac. Sci., Marseille,
2 (1892), 63-65.
MANIN Yu.I.,
[1] Non-archimedean integration and p-adic Jaquet-Langlands L-functions.
(Russian) Uspehi. Mat. Nauk., 31 (1976), no. 1(187), 5-54.
Z348.12016; M54#5194; R1976,8A478
MANIN Yu.I., PANCHISHKIN A.A.,
[1] An introduction to the theory of numbers. (Russian) Current problems in
mathematics. Fundamental directions, Vol. 49, Itogi Nauki i Tekhniki.,
Akad. Nauk. SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform, Moscow,
1990, 5-348.
Z732.11002; M91j:11001b
MARKETT C.: see BUTZER P.L., MARKEETT C., SCHMIDT M.
MARKOV A.A.,
[1] Ischislenie konechnykh raznostej, Otdel 2, Uravnenie v konechnykh
raznostyakh i summirovanie [The calculus of finite differences. The equation
in finite differences and summation]. Sankt-Peterburg, 1891.
J23.0347.02
[3] (A.A. Markoff) Differenzenrechnung. Teubner, Leipzig, 1896.
J27.0261.02
Maroni, Pascal; Mejri, Manoubi,
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M2006j:42036
MARSAGLIA G., MARSAGLIA J.C.W.,
[1] A new derivation of Stirling's approximation to $n!$,
Amer. Math. Monthly, 97 (1990), no. 9, 826-829.
(See also: N. Grossman, Letter to the Editor, Amer. Math. Monthly,
98 (1991), no. 3, 233.)
Z786.05007; M92b:41049
MARTINET J.,
[1] Sur l'ouvrage de Hasse "Über die Klassenzahl Abelscher
Zahlkörper". Séminaire de Théorie des nombres.
Univ. Bordeaux I, année 1982-83 (1983), exp. no. 4, 15 pp.
Z526.12003; M85m:11071
MATHAI A.M., PEDERZOLI G.,
[1] A direct statistical technique of obtaining some summation formulae
for Bernoulli polynomials and representations of certain algebraic functions,
Metron, 43 (1985), no. 3-4, 157-166.
Z598.33001; M87j:33001
MATIYASEVICH Yu.V.,
[1] Hilbert's tenth problem. Foundations of Computing Series.
MIT Press, Cambridge, MA, 1993. xxiv+264pp.
Z790.03009; M94m:03002b
[2] A Diophantine representation of Bernoulli numbers and its applications.
(Russian) Dedicated to the 100th birthday of Academician Petr Sergeevich
Novikov (Russian).
Tr. Mat. Inst. Steklova 242 (2003), Mat. Logika i Algebra, 98-102.
R04.04 - 13A.122
MATSUMOTO K.: see KATSURADA M., MATSUMOTO K.
MATSUOKA Y.,
[1] On the values of the Riemann zeta function at half integers.
Tokyo J. Math. 2 (1979), no. 2, 371-377.
Z421.10026; M81m:10077; R1980,6A130
[2] On the values of a certain Dirichlet series at rational
integers, Tokyo J. Math., 5 (1982), no. 2, 399-403.
Z505.10020; M84d:10046; R1983,8A117
[3] 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.
Z682.10012; M91k:11021
[4]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.
Z731.11013
MATSUOKA Y.: see also ORIGUCHI T., KIRIYAMA H., MATSUOKA Y.
MATTER K.,
[1] Die den Bernoullischen Zahlen analogen Zahlen im Körper der
3. Einheitswurzeln, Diss., Zürch, 1900. Zürch. Naturf. Ges.,
45, 238-269.
J31.0204.03
MATTICS L.E.: see GESSEL I., MATTICS L.E.
MAYER D.H.: see CHANG CHENG-HUNG, MAYER D.H.
MAZUR B.,
[1] Review of Kummer's Collected Papers, Vols. I and II, ed. by A. Weil,
Bull. Amer. Math. Soc., 83 (1977), no. 5, 976-988.
MAZUR B., WILES A.,
[1] Analogues between function fields and number fields, Amer.
J. Math., 105 (1983), no. 2, 507-521.
Z531.12015; M84g:12003
[2] Class fields of abelian extensions of Q,
Invent. Math., 76 (1984), no. 2, 179-330.
Z545.12005; M85m:11069; R1985,2A351
McCALLUM W.G.,
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of the Fermat curve,
Invent. Math., 93 (1988), no. 3, 637-666.
Z661.14033; M90b:11059
[2] The arithmetic of Fermat curves.
Math. Ann., 294 (1992), no.3, 503-511.
Z766.14013; M93j:11037
McCARTHY P.J.,
[1] Some irreducibility theorems for Bernoulli polynomials of
higher order, Duke Math. J., 27 (1960), 313-318.
Z178.37302; M22#5613; R1961,6A137
[2] Irreducibility of certain Bernoulli polynomials, Amer. Math.
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Z98.24803; M23#A1625; R1962,5A161
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J. Math., 14 (1962), 565-567.
Z118.26001; M25#4150; R1963,7B63
McCLENON R.B.,
[1] Bernoulli numbers,
Proc. Iowa Acad. Sci., 57 (1950), 315-319.
M13-13f
McINTOSH R.J.,
[1] A necessary and sufficient condition for the primality of Fermat
numbers, Amer. Math. Monthly, 90 (1983), no. 2, 98-99.
Z513.10012; M85c:11022; R1983,3A111
[2] On the converse of Wolstenholme's theorem.
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Z829.11003; M96h:11002; R1996,5A120
[3] Franel integrals of order four,
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Z855.11020; M96j:11055; R1997,5A35
MELHAM R.S., SHANNON A.G.,
[1] Some infinite series summations using power series evaluated at a matrix.
Fibonacci Quart., 33 (1995), no. 1, 13-20.
Z826.11007; M95k:11025
MERCIER A.,
[1] Sums containing the fractional parts of numbers,
Rocky Mountain J. Math., 15 (1985), no. 2, 513-520.
Z588.10044; M87e:11011
MESSICK C.A.,
[1] A new method of determining Bernoulli's numbers,
Amer. Math. Monthly, 33 (1926), 214-217.
J52.0355.02
METSÄNKYLÄ T.,
[1] A congruence for the class number of a cyclic field, Ann. Acad. Sci.
Fennicae, Ser. AI, Math., (1970), no. 472, 1-11.
Z194.35202; M42#3057; R1971,4A319
[2] Note on the distribution of irregular primes, Ann. Acad. Sci.
Fennicae, Ser. AI, Math., (1971), no. 492, 1-7.
Z208.05502; M43#168; R1971,9A100
[3] A class number congruence for cyclotomic fields and their
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Z233.12004; M48#11046; R1974,1A176
[4] On the cyclotomic invariants of Iwasawa, Math. Scand.,
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Z314.12004; M52#10677; R1976,11A432
[5] On the Iwasawa invariants of imaginary abelian fields,
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Z323.12010; M53#347; R1976,11A426
[6] Distribution of irregular prime numbers, J. Reine Angew. Math.,
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Z327.10041; M53#2865; R1976,10A99
[7] Note on certain congruences for generalized Bernoulli
numbers, Arch. Math. (Basel), 30 (1978), 595-598.
Z371.12003; M58#16602; R1978,12A180
[8] Iwasawa invariants and Kummer congruences, J. Number
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Z388.12006; M80d:12007; R1978,6A302
[9] An upper bound for the $\lambda$-invariant of imaginary
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Z497.12002; M85a:11019; R1984,1A283
[10] Maillet's matrix and irregular primes, Ann. Univ. Turku., Ser.
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Z531.12003; M85j:11145; R1985,1A213
[11] The Voronoi congruence for Bernoulli numbers. The Very
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Turun yliopiston offsetpaino-Turku, 1987, 112-119.
Z632.10006; M88m:11010; R1988,3A414
[12] The index of irregularity of primes,
Expositiones Math., 5 (1987), 143-156.
Z608.12004; M88f:11011; R1987,9A80
[13] A simple method for estimating the Iwasawa $\lambda$-invariant,
J. Number Theory, 27 (1987), no. 1, 1-6.
Z612.12005; M88m:11091; R1988,3A414
[14] Cyclotomic fields, irregular primes, and supercomputing (Finnish).
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METSÄNKYLÄ T.: see also BUHLER J.P. et al
MEURMAN A.: see ALMKVIST G., MEURMAN A.
MEYER C.,
[1] Über die Bildung von elementar-arithmetischen Klasseninvarianten in
reell-quadratischen Zahlkörpern. Algebraische Zahlentheorie (Ber. Tagung
Math. Forschungsinst. Oberwolfach, 1964) Bibliographisches Institut, Mannheim,
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Z207.36301; M38#2121; R1965,5A146
MEYER G.F.,
[1] Über Bernoulli'sche Zahlen, Diss. Göttingen, 1859, 56pp.
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J03.0125.03
MEYER J.L.,
[1] Character analogues of Dedekind sums and transformations of analytic
Eisenstein series. Pacific J. Math. 194 (2000), no. 1, 137-164.
M2002b:11059; R01.01-13A.132
MEYER J.R.,
[1] Une conjecture de Chowla et Walum,
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Z568.10023; M87a:11089; R1986,5A137
MEYER W., VON RANDOW R.,
[1] Ein Würfelschnittproblem und Bernoullische Zahlen, Math.
Ann., 193 (1971), 315-321.
Z209.34402; M45#2569; R1972,4V308
Mihailescu, Preda,
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M2006j:11147
MIKELADZE SH. E.,
[1] Numerical integration. (Russian) Uspekhi Matem. Nauk (N.S.), 3 (1948),
3-88.
Z41.44416; M10-575g
[2] Numerical methods of mathematical analysis. (Russian) Gosudarstv. Izdat.
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Z52.34901; M16-627c; R1955,1974K
MIKI H.,
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J. Number Theory, 10 (1978), no. 3, 297-302.
Z379.10007; M80a:10024; R1979,2A109
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MIKOLÁS M.,
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C. R. du I Congr. Math. Hongr., (1950), 519-538, 541-550.
Akadémiai Kiadó, Budapest, 1952.
Z49.05302; M14-1073g
[2] Über die Beziehung zwischen der Gammafunktion und den
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Z51.05202; M15-525d; R1954,2989
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Acta Math. Acad. Sci. Hungar., 6 (1955), no. 3-4, 381-438.
Z68.28303; M19-132e; R1957,1568
[4] Integral formulae of arithmetical characteristics relating to the
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Z81.27403; M19-731; R1958,6429
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Math. Z., 68 (1957), no. 1, 100-110.
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Acta Sci. Math. Szeged, 19 (1958), no. 3-4, 247-250.
Z87.07401; M21#1953; R1960,93
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Publ. Math., Debrecen, 7 (1960), no. 4, 158-180.
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MILAS A.: see DOYON B., LEPOWSKY J., MILAS A.
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MILLER H.,
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MILLER J.B.,
[1] The Euler-Maclaurin sum formula for an inner derivation,
Aequationes Math., 25 (1982), no. 1, 42-51.
Z519.47022; M85b:46057; R1984,2B1093
[2] Series like Taylor's series,
Aequationes Math., 26 (1983), no. 2-3, 208-220.
Z562.40001; M86a:30081; R1985,2B915
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Proc. Roy. Soc. Edinburgh Sect. A, 95 (1983), no. 3-4, 285-300.
Z527.47024; M85f:47018; R1984,6B1042
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Aequationes Math., 28 (1985), no. 1-2, 64-68.
Z558.41031; M86m:41040; R1985,7B948
MILLER J.C.P.: see FLETCHER A. et al.
MILLS S.,
[1] The independent derivations by Leonhard Euler and Colin
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Arch. Hist. Exact Sci., 33 (1985), no. 1-3, 1-13.
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MILNE-THOMSON L.M.,
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R1964,2A176
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MINOLI D.,
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Math. Comp., 34 (1980), no. 150, 543-545.
Z424.40003; M81g:65002; R191980,11A65
MIRIMANOFF D.,
[1] L'equation indéterminée $x^l+y^l+z^l=0$ et
le critérium
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J35.0216.03
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J41.0236.03
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J63.0106.04; Z17.06202
MISHRA S.S.: see SHUKLA R.N., MISHRA S.S.
MISHRA S.S.: see SINGH S.N., MISHRA S.S.
MISON K.,
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diferencnich posloupnosti
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MISRA S.S., SHUKLA R.N.,
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MITRINOVIC D.S.,
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MITRINOVIC D.S., MITRINOVIC R.S.,
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MITRINOVIC R.S.: see MITRINOVIC D.S., MITRINOVIC R.S.
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MOIVRE A. DE: see DE MOIVRE A.
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MURAKAMI JUN: THANG LE THU QUAC, MURAKAMI JUN
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M2001i:11023a,b,c
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