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

Z626.10012; M88g:05018

KALLIES J.,
[1] Verallgemeinerte Dedekindsche Summen und ein Gitterpunktproblem im n-dimensionalen Raum, J. Reine Angew. Math., 344 (1983), 22-37.
Z508.10007; M86d:11004; R1984,1A98

[2] Ein Beitrag zur Arithmetik der Bernoullischen Zahlen imaginär-quadratischer Zahlkörper, J. Reine Angew. Math., 361 (1985), 73-94.
Z561.12001; M87g:11031; R1986,4A399

KALLIES J., SNYDER C.,
[1] On the values of partial zeta functions of real quadratic fields at nonpositive integers, Math. Nachr., 175 (1995), 159-191.
Z856.11053; M96k:11137

KALYUZHNYI V.N.,
[1] A $p$-adic analogue of the Hurwitz zeta function.(Russian) Teor. Funktsii Funktsional. Anal. i Prilozhen., no. 40 (1983), 74-79.
Z555.12007; M85h:11078; R1984,2A321

[2] The power moment problem on a $p$-adic disk. Teor. Funktsii Funktsional. Anal. i Prilozhen., no. 39 (1983), 56-61.
Z561.12005; M85b:11077; R1984,1B135

[3] On certain sums with Stirling and Bernoulli numbers. (Russian) Vestnik Kharkov. Gos. Univ., no. 286 (1986), 87-94.
Z626.10011; M88g:05018

KAMIENNY S.,
[1] Modular curves and unramified extensions of number fields, Compositio Math., 47 (1982), no. 2, 223-225.
Z501.12011; M84e:12011; R1983,4A370

[2] Points of order $p$ on elliptic curves over $ Q(\sqrt p)$, Math. Ann., 262 (1982), no. 4, 413-424.
Z489.14010; M84g:14047; R1983,5A390

[3] Rational points on modular curves and abelian varieties, J. Reine Angew. Math., 359 (1985), 174-187.
Z569.14002; M86j:11061; R1986,4A589

[4] p-torsion in elliptic curves over subfields of $ Q(\mu_p)$, Math. Ann., 280 (1988), no. 3, 513-519.
Z626.14024; M90a:11061

[5] On $J_1(p)$ and the kernel of the Eisenstein ideal, J. Reine Angew. Math., 404 (1990), 203-208.
Z705.14025; M90m:11171; R1990,9A341

KAMIENNY S., STEVENS G.,
[1] Special values of L-functions attached to $X_1(N)$, Composito Math., 49 (1983), no. 1, 121-142.
Z519.14018; M84g:14021; R1983,11A588

KAMNITZER J.: see BORWEIN J.M., BROADHURST D.J., KAMNITZER J.

KANEKO M.,
[1] A recurrence formula for the Bernoulli numbers, Proc. Japan Acad. Ser. A, 71 (1995), 192-193.
Z854.11012; M96i:11022; R1996,4V266

[2] Poly-Bernoulli numbers, J. Théor. Nombres Bordeaux 9 (1997), no. 1, 221-228.
Z887.11011; M98k:11013; R1998,4A85

[3] Multiple zeta values and poly-Bernoulli numbers (Japanese), Seminar Reports of the Department of Mathematics, Tokyo Metropolitan University, 1997, 42 pp.

[4] The Akiyama-Tanigawa algorithm for Bernoulli numbers. J. Integer Seq. 3 (2000), no. 2, Article 00.2.9, 6 pp. (electronic).
Z0982.11009; M2001k:11026

KANEKO M., KUROKAWA N., WAKAYAMA M.,
[1] A variation of Euler's approach to values of the Riemann zeta-function. Kyushu J. Math. 57 (2003), no. 1, 175-192.

KANEKO M., ZAGIER D.,
[1] Supersingular $j$-invariants, hypergeometric series, and Atkin's orthogonal polynomials. Computational perspectives on number theory (Chicago, IL, 1995), 97-126, AMS/IP Stud. Adv. Math., 7, Amer. Math. Soc., Providence, RI, 1998.
Z0955.11018; M99b:11064; R01.11-13A418

KANEKO M.: see also ARAKAWA T., KANEKO M.,

KANEKO M.: see also ARAKAWA T., IBUKIYAMA T., KANEKO M.

KANELLOS S.G.,
[1] On Bernoulli's numbers, Bull. Soc. Math. Grèce, 28 (1954); 101-106. (Greek, English summary.)
Z57.01002; M15-855d; R1956,2755

KANEMITSU S.,
[1] On some bounds for values of Dirichlet's L-function $L(s, \chi)$ at the point $s=1$, Mem. Fac. Sci. Kyushu Univ., Ser. A, 31 (1977), no. 1, 15-23.
Z351.10024; M55#12655; R1977,12A103

[2] Omega theorems for divisor functions, Tokyo J. Math., 7 (1984), no. 2, 399-419.
Z556.10031; M87c:11085; R1985,10A141

KANEMITSU S., KUZUMAKI T.,
[1] On a generalization of the Maillet determinant. Number theory (Eger, 1996), 271-287, de Gruyter, Berlin, 1998.
Z920.11071; M99h:11122

[2] On a generalization of the Maillet determinant. II. Acta Arith. 99 (2001), no. 4, 343-361.
Z0984.11056; M2002h:11115

KANEMITSU S., SHIRATANI K.,
[1] An application of the Bernoulli functions to character sums, Mem. Fac. Sci. Kyushu Univ., Ser. A, 30 (1976), no. 1, 65-73.
Z336.10031; M54#249; R1976,9A151

[2] Applications of Bernoulli functions to Dirichlet character sums. (Japanese). Characteristics of arithmetic functions (Proc. Sympos., Res. Inst. Math. Sci., Kyoto Univ., Kyoto, 1975). Sûrikaisekikenkyûsho Kôkyûroku, No. 274, (1976), 148-151.
Z336.10033; M56#15578

KANEMITSU S., SITARAMACHANDRA RAO R.,
[1] On a conjecture of P. Chowla and of S. Chowla and H. Walum, I, J. Number Theory, 20 (1985), no. 3, 255-261.
Z467.10031; M87d:11072a; R1986,1A110

[2] On a conjecture of S. Chowla and Walum, II, J. Number Theory, 20 (1985), no. 2, 103-120.
Z467.10032; M87d:11072b; R1986,1A111

KANEMITSU S.: see also ISHIBASHI M., KANEMITSU S.

KANO H.,
[1] On the equation $s(1^k+s^k+ \cdots +x^k)+r = by^z$, Tokyo J. Math., 13 (1990), no. 2, 441-448.
Z722.11022; M91m:11022; R1991,9A121

KANOU N.,
[1] Transcendency of zeros of Eisenstein series. Proc. Japan Acad. Ser. A Math. Sci. 76 (2000), no. 5, 51-54.
Z0973.11051; M2001k:11068; R01.03-13A.173

KAPTEYN J.C., KAPTEYN W.,
[1] Die Höheren Sinus. Sitzungsber. d. Kais. Akad. d. Wiss. in Wien, 93 (1886), 807-868.
J18.0371.02

KAPTEYN W.,
[1] Expansion of functions in terms of Bernoulli polynomials, Proc. Intern. Math. Congress, Toronto, (1924), Reprinted v.1 (1967), 605-609.
J54.0323.02

KARAMATSU Y.,
[1] On Fermat's last theorem and the first factor of the class number of the cyclotomic field, 2, TRU Math., 16 (1980), no. 1, 23-29.
Z465.10010; M82a:10020; R1981,4A113

[2] Ribenboim's criteria and some criteria for the first case of Fermat's last theorem, TRU Math., 17 (1981), no.1, 25-38.
Z472.10021; M83a:10023; R1982,3A143

[3] A note on the first case of Fermat's last theorem. Prospects of mathematical science (Tokyo, 1986), pp. 73-77. World Sci. Publishing, Singapore, 1988.
Z654.10017; M89i:11043

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

KARANDE B.K., THAKARE N.K.,
[1] On the unification of Bernoulli and Euler polynomials, Indian J. Pure Appl. Math., 6 (1975), no. 1, 98-107.
Z343.33010; M54#110; R1977,6V412

KAREL M.L.,
[1] Fourier coefficients of certain Eisenstein series. Bull. Amer. Math. Soc., 78 (1972), 828-830.
Z255.10030; M45#6760; R1973,4A560

[2] Fourier coefficients of certain Eisenstein series. Ann. Math. (2), 99 (1974), no.1, 176-202.
Z279.10024; M49#8935; R1974,7A749

KARPENKOV O.N.,
[1] Combinatorics of multiboundary singularities of the series $B\sp l\sb n$ and the Bernoulli-Euler numbers. (Russian) Funktsional. Anal. i Prilozhen. 36 (2002), no. 1, 78-81; translation in Funct. Anal. Appl. 36 (2002), no. 1, 65-67.
M2003e:58058

KARST E.,
[1] On the coefficients of $\sum_{x=1}^n x^k/\sum_{x=1}^n x^m$, written in terms of n, Pi Mu Epsilon J. 4 (1964), 11-14.

KASUBE H.: see GANDHI J.M., KASUBE H., SURYANARAYANA D.

KATAYAMA K.,
[1] On Ramanujan's formula for values of Riemann zeta function at positive odd integers, Acta Arith., 22 (1973), 149-155.
Z248.10032; M48#252; R1973,9A139

[2] On the values of Eisenstein series, Tokyo J. Math., 1 (1978), no. 1, 157-188.
Z391.10022; M80f:10029; R1979,1A148

[3] Corrections to: "On the values of Eisenstein series", Tokyo J. Math., 5 (1982), no. 1, 115-116.
M83j:10025

[4] Barnes' multiple zeta function and Apostol's generalized Dedekind sum. Tokyo J. Math. 27 (2004), no. 1, 57-74.
M2005e:11050

KATAYAMA K., OHTSUKI M.,
[1] On a theorem of Shintani, Tokyo J. Math., 16 (1993), no. 1, 155-170.
Z802.11015; M94e:11042

KATO K., KUROKAWA N., SAITO T.,
[1] Number theory. 1. Fermat's dream. Translations of Mathematical Monographs, 186. Iwanami Series in Modern Mathematics. American Mathematical Society, Providence, RI, 2000. xvi+154 pp.
M2000i:11002

KATSURADA H.,
[1] An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree $3$, Nagoya Math. J. 146 (1997), 199-223.
Z882.11026; M98g:11051; R1999,7A484

[2] Rapidly convergent series representations for $\zeta(2n+1)$ and their $\chi$-analogue, Acta Arith. 90 (1999), no. 1, 79-89.

KATSURADA M.,
[1] Power series and asymptotic series associated with the Lerch zeta-function. Proc. Japan Acad. Ser. A Math. Sci. 74 (1998), no. 10, 167-170.
Z937.11035; M99m:11098; R1999,7B23

[2] Rapidly convergent series representations for $\zeta(2n+1)$ and their $\chi$-analogue. Acta Arith. 90 (1999), no. 1, 79-89.
Z933.11042; M2000f:11101

KATSURADA M., MATSUMOTO K.,
[1] The mean values of Dirichlet $L$-functions at integer points and class numbers of cyclotomic fields. Nagoya Math. J., 134 (1994), 151-172.
Z806.11036; M95d:11108; R1995,6A292

[2] Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. II. New trends in probability and statistics, Vol. 4 (Palanga, 1996), 119-134, VSP, Utrecht, 1997.
Z929.11027; M2000c:11145

KATZ N.M.,
[1] p-adic L-functions via moduli of elliptic curves, Proc. Symp. Pure Math., 29 (1975), 479-506.
Z317.14009; M55#5635

[2] The congruences of Clausen - von Staudt and Kummer for Bernoulli-Hurwitz numbers, Math. Ann., 216 (1975), 1-4.
Z303.10028; M52#8136; R1976,2A539

[3] Higher congruences between modular forms, Ann. of Math. (2), 101 (1975), no. 2, 332-367.
Z356.10020; M54#5120; R1976,1A516

[4] p-adic L-functions for CM-fields, Invent. Math., 49 (1978), no. 3, 199-297.
Z439.12010; M80h:10039; R1979,7A400

[5] Divisibilities, congruences and Cartier duality, J. Fac. Sci. Univ. Tokyo, Ser. IA, 28 (1981), no. 3, 667-678.
Z559.14032; M83h:10067; R1982,11A355

KAWASAKI T.,
[1] On the class number of real quadratic fields, Mem. Fac. Sci. Kyushu Univ., Ser. A, 35 (1981), no. 1, 159-171.
Z459.12003; M82g:12006; R1981,9A275

KAZANDZIDIS G.S.,
[1] On sums of like powers of the numbers less than $N$ and prime to $N$, Prakt. Akad. Athenon, 44 (1969), (1970), 148-158.
Z264.10009; M46#5230

[2] On the Bernoulli polynomials, Bull. Soc. Math. Grèce, 10 (1969), 151-182.
Z197.31901; M43#4756

KELISKY R.P.,
[1] Congruences involving combinations of the Bernoulli and Fibonacci numbers, Proc. Nat. Acad. Sci. U.S.A., 43 (1957), no. 12, 1066-1069.
Z84.27004; M19-941d; R1960,4A589

[2] On formulas involving both the Bernoulli and Fibonacci numbers, Scripta Math., 23 (1957), no. 1-4, 27-35.
Z84.06605; M20#5300; R1960,3784

KELLER W., LÖH G.,
[1] The criteria of Kummer and Mirimanoff extended to include 22 consecutive irregular pairs, Tokyo J. Math., 6 (1983), no. 2, 397-402.
Z553.10009; M85h:11014; R1984,10A93

KELLNER B.,
[1] Über irreguläre Paare höherer Ordnungen. Diplomarbeit, Göttingen, 2002.

[2] On irregular prime power divisors of the Bernoulli numbers. Math. Comp. 76 (2007), no. 257, 405-441.
Z84.06605; MMR2261029

KERVAIRE M.A., MILNOR J.W.,
[1] Bernoulli numbers, homotopy groups, and a theorem of Rohlin, Proc. Intern. Congress of Math., Edinburgh 1958, Cambridge Univ. Press, 1960, 454-458.
Z119.38503; M22#12531; R1961,8A349

[2] Groups of homotopy spheres, I, Ann. of Math., 77 (1963), no. 3, 504-537.
Z115.40505; M26#5584; R1964,10A305

KHAN R.A.,
[1] A simple derivation of a formula for $\sum_{k=1}^n k^r$, Fibonacci Quart., 19 (1981), no. 2, 177-180.
M82e:05010; R1981,9V438

KHANNA I.K.,
[1] A new type of generalization of Bernoulli and Euler numbers and its applications, Progr. Math. (Varanasi), 20 (1986), no. 2, 83-89.
Z699.10022; M88g:11008

KHANNA I.K., PANDAY P.,
[1] Extended Bernoulli numbers and its applications, Ganita, 35 (1984), no. 1-2, 26-34 (1987).
Z632.10009

KHOVANSKII A.N.,
[1] Some identities connected with Bernoulli numbers. (Russian), Izvestiya Kazan. Filial. Akad. Nauka. SSSR. Ser. Fiz.-Mat. Tehn. Nauk., 1 (1948), 93-94.
M14-138c

KIDA M.,
[1] Kummer's criterion for totally real number fields. Tokyo J. Math., 14 (1991), no.2, 309-317.
Z758.11031; M92j:11135

KIM DAE SAN: see JANG YOUNGHO, KIM DAE SAN.

KIM E.E., TOOLE B.A.,
[1] Ada and the first computer. Scientific American, May 1999, 76-81.

KIM EUN-SUP: see CHO HAE-SOOK, KIM EUN-SUP.

KIM HAN SOO, KIM TAEKYUN,
[1] On a $q$-analogue of the $p$-adic log gamma functions and related integrals. Number theory and related topics (Masan, 1994; Pusan, 1994), 67--75, Pyungsan Inst. Math. Sci., Seoul, 1995.
M97h:11013

[2] Remark on $q$-analogues of $p$-adic $L$-functions. Number theory and related topics (Masan, 1994; Pusan, 1994), 76--83, Pyungsan Inst. Math. Sci., Seoul, 1995.
M97g:11016

[3] On certain values of $p$-adic $q$-$L$-functions. Rep. Fac. Sci. Engrg. Saga Univ. Math. 23 (1995), no. 1-2, 1-7.
Z820.11071; M96f:11153; R1997,4A262

[4] Some congruences for Bernoulli numbers. II. Rep. Fac. Sci. Engrg. Saga Univ. Math. 24 (1996), no. 2, 5 pp.
Z869.11016; M98g:11018; R1996,12A142

[5] On $q$-$\log$-gamma-functions. Bull. Korean Math. Soc. 33 (1996), no. 1, 111-118.
Z865.11059; M97b:11025

[6] Remark on $p$-adic $q$-Bernoulli numbers. Algebraic number theory (Hapcheon/Saga, 1996). Adv. Stud. Contemp. Math. 1 (1999), 127-136.
M2000g:11112

KIM HAN SOO, LIM PIL-SANG, KIM TAEKYUN,
[1] A remark on $p$-adic $q$-Bernoulli measure. Bull. Korean Math. Soc. 33 (1996), no. 1, 39--44.
Z855.11062; M97b:11145

KIM HOIL: see JANG YOUNGHO, KIM HOIL.

KIM J.H.: see JANG L.C., KIM J.H., KIM T., LEE D.H., PARK D.W., RYOO C.S.

KIM JAE MOON,
[1] Class numbers of certain real abelian fields, Acta Arith., 72 (1995), no. 4, 335-345.
Z841.11056; M96j:11152; R1996,10A248

[2] Class numbers of real quadratic fields, Bull. Austral. Math. Soc., 57 (1998), no. 2, 261-274.
Z980.47404; M98m:11117; R01.03-13A173

[3] Units and cyclotomic units in ${Z}\sb p$-extensions, Nagoya Math. J. 140 (1995), 101-116.
Z848.11055; M96m:11100

KIM MIN-SOO, KIM TAEKYUN
[1] An explicit formula on the generalized Bernoulli number with order $n$. Indian J. Pure Appl. Math. 31 (2000), no. 11, 1455-1461.
Z0966.11014; M2002c:11017

KIM MIN-SOO, SON JIN-WOO
[1] On Bernoulli numbers. J. Korean Math. Soc. 37 (2000), no. 3, 391-410.
Z971.11057; M2001g:11020

[2] On a multidimensional Volkenborn integral and higher order Bernoulli numbers. Bull. Austral. Math. Soc. 65 (2002), no. 1, 59-71.
Z0996.11017; M2003d:11029

[3] Some remarks on a $q$-analogue of Bernoulli numbers. J. Korean Math. Soc. 39 (2002), no. 2, 221-236.
M2002j:11011

[4] A $q$-analogue of the Dirichlet $L$-function. Algebra Colloq. 9 (2002), no. 4, 469-480.
M2003h:11024

[5] Bernoulli numbers in $p$-adic analysis. Appl. Math. Comput. 146 (2003), no. 1, 289-297.
M2004i:11012

KIM MIN-SOO: see also JANG YOUNGHO, KIM MIN-SOO, SON JIN-WOO

KIM T.
[1] Non-Archimedean $q$-integrals associated with multiple Changhee $q$-Bernoulli polynomials. Russ. J. Math. Phys. 10 (2003), no. 1, 91-98.
M2004h:33034

KIM T.
[2] $p$-adic $q$-integrals associated with the Changhee-Barnes' $q$-Bernoulli polynomials. Integral Transforms Spec. Funct. 15 (2004), no. 5, 415-420.

KIM T., JANG L.C., RYOO C.S., PARK D.-W.,
[1] The real zeros of $q$-Bernoulli polynomials. Far East J. Appl. Math. 16 (2004), no. 2, 233-248.

KIM T.: see also JANG L.C., KIM J.H., KIM T., LEE D.H., PARK D.W., RYOO C.S.

KIM TAEKYUN,
[1] An analogue of Bernoulli numbers and their congruences. Rep. Fac. Sci. Engrg. Saga Univ. Math., 22 (1994), no. 2, 21-26.
Z802.11007; M94m:11024

[2] On explicit formulas of $p$-adic $q$-$L$-functions. Kyushu J. Math., 48 (1994), no.1, 78-86.
Z817.11054; M95c:11140; R1996,8A219

[3] On a $q$-analogue of the $p$-adic log gamma functions and related integrals. J. Number Theory 76 (1999), no. 2, 320-329.
Z941.11048; M 2000c:11195

[4] On $p$-adic $q$-Bernoulli numbers. J. Korean Math. Soc. 37 (2000), no. 1, 21-30.
M2001a:11193; R00.03-13A113

[5] Sums of products of $q$-Bernoulli numbers. Arch. Math. (Basel) 76 (2001), no. 3, 190-195.
M2001k:11251

[6] Remark on $p$-adic $q$-$L$-functions and sums of powers. Proc. Jangjeon Math. Soc. 1 (2000), 161-169.
M2001i:11138

[7] Remark on $p$-adic proofs for $q$-Bernoulli and Eulerian numbers of higher order. Proc. Jangjeon Math. Soc. 2 (2001), 9-15.
R03.11 - 13A.324

[8] Some $q$-Bernoulli numbers of higher order associated with the $p$-adic $q$-integers. Proc. Jangjeon Math. Soc. 2 (2001), 23-28.
R03.11 - 13A.323

[9] A note on $p$-adic $q$-Dedekind sums. Proc. Jangjeon Math. Soc. 2 (2001), 29-34.
R03.11 - 13A.322

[10] A note on $p$-adic $q$-Dedekind sums. C. R. Acad. Bulgare Sci. 54 (2001), no. 10, 37-42.
M2002i:11120

[11] A note on the solutions for exercise problems of $p$-adic $q$-integrals. Proc. Jangjeon Math. Soc. 2 (2001), 45-49.
R03.11 - 13A.321.

[12] Some formulae for the $q$-Bernoulli and Euler polynomials of higher order. J. Math. Anal. Appl. 273 (2002), no. 1, 236-242.
Z1008.11005

[13] On $p$-adic $q$-$L$-functions and sums of powers. Discrete Math. 252 (2002), no. 1-3, 179-187.
Z1007.11073; M2003g:11137

Kim, Taekyun,
[14] $q$-Volkenborn integration. Russ. J. Math. Phys. 9 (2002), no. 3, 288-299.
M2004f:11138

[15] Remark on the multiple Bernoulli numbers. Proc. Jangjeon Math. Soc. 6 (2003), no. 2, 185-192.
M2005a:11023

[16] A note on $q$-Bernoulli numbers and polynomials. J. Nonlinear Math. Phys. 13 (2006), no. 3, 315--322.

[17] $q$-generalized Euler numbers and polynomials. Russ. J. Math. Phys. 13 (2006), no. 3, 293-298.

KIM TAEKYUN, ADIGA C.,
[1] Sums of products of generalized Bernoulli numbers. Int. Math. J. 5 (2004), no. 1, 1-7.
M2004m:11020

KIM TAEKYUN, JANG LEE-CHAE, PAK HONG KYUNG,
[1] A note on $q$-Euler and Genocchi numbers. Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 8, 139-141.
M2002h:11018

KIM TAEKYUN, JANG LEE CHAE, RIM SEOG-HOON, PAK HONG-KYUNG,
[1] On the twisted $q$-zeta functions and $q$-Bernoulli polynomials. Far East J. Appl. Math. 13 (2003), no. 1, 13-21.

KIM TAEKYUN, RIM SEOG-HOON,
[1] A note on $p$-adic Carlitz's $q$-Bernoulli numbers. Bull. Austral. Math. Soc. 62 (2000), no. 2, 227-234.
Z0959.11012; M2001g:11021

[2] Generalized Carlitz's $q$-Bernoulli numbers in the $p$-adic number field. Adv. Stud. Contemp. Math. (Pusan) 2 (2000), 9-19.
M2001j:11118

[3] Explicit formulas for the $q$-Bernoulli numbers of higher order. Proc. Jangjeon Math. Soc. 1 (2000), 97-107.

[4] Some $q$-Bernoulli numbers of higher order associated with the $p$-adic $q$-integrals. Indian J. Pure Appl. Math. 32 (2001), no. 10, 1565-1570.
M2002m:11101

[5] On Changhee-Barnes' $q$-Euler numbers and polynomials. Adv. Stud. Contemp. Math. (Kyungshang) 9 (2004), no. 2, 81-86.
Z1065.11010; M2005f:11028

[5] A note on two variable Dirichlet's $L$-function. Adv. Stud. Contemp. Math. (Kyungshang) 10 (2005), no. 1, 1-6.
M2005g:11 025

Kim, Taekyun; Ryoo, Cheon Seoung,
[1] Kummer congruences for the Euler numbers of higher order. JP J. Algebra Number Theory Appl. 4 (2004), no. 2, 301-310.
Z1064.11078; M2005g:11239

Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H.,
[1] Exploring the $q$-Riemann zeta function and $q$-Bernoulli polynomials. Discrete Dyn. Nat. Soc. 2005, no. 2, 171--181.
M2006k:11032

KIM TAEKYUN: see also JANG LEE-CHAE, KIM TAEKYUN, LEE DEOK-HO, PARK DAL-WON.

KIM TAEKYUN: see also JANG LEECHAE, KIM TAEKYUN, PARK DAL-WON.

KIM TAEKYUN: see also JANG LEECHAE, KIM TAEKYUN, RIM SEOG-HOON.

KIM TAEKYUN: see also JANG LEE-CHAE, KIM TAEKYUN, RIM SEOGHOON, SON JIN-WOO

KIM TAEKYUN: see also KIM HAN SOO, KIM TAEKYUN

KIM TAEKYUN: see also KIM MIN-SOO, KIM TAEKYUN

KIM TAEKYUN: see also RYOO CHEON SEOUNG, KIM TAEKYUN

KIM YUNG-HWAN, PARK DAL-WON, JANG LEE-CHAE,
[1] A note on $q$-analogue of Volkenborn integral. Adv. Stud. Contemp. Math. (Kyungshang) 4 (2002), no. 2, 159-163.
M2003a:11016

KIMBALL B.F.,
[1] The application of Bernoulli polynomials of negative order to differencing, Amer. J. Math., 55 (1933), 399-416.
J59.0367.02; Z7.21101

[2] The application of Bernoulli polynomials of negative order to differencing. II, Amer. J. Math., 56 (1934), 147-152.
J60.1041.03; Z8.26005

[3] A generalization of the Bernoulli polynomial of order one, Bull. Amer. Math. Soc., 41 (1935), 894-900.
J61.0377.03; Z13.16701

[4] The generalized Bernoulli polynomial and its relation to the Riemann zeta function (Abstract). Bull. Amer. Math. Soc., 39 (1933), 510-511.
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KUNDERT E.G.,
[1] Basis in a certain completion of the s-d-ring over the rational numbers. I, II. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 64 (1978), no. 5, 423-428; no. 6, 543-547.
Z428.13013; M81j:13026a,b; R1980,7A204; [2] The Bernoullian of a matrix (A generalization of the Bernoulli numbers), Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 72 (1982), (1983), no. 6, 315-317.
Z523.10005; M85g:05021; R1984,6A87

[3] A von Staudt-Clausen theorem for certain Bernoullian-like numbers and regular primes of the first and second kind. Fibonacci Quart., 28 (1990), no. 1, 16-21.
Z694.10013; M91e:11022; R1991,2A107

KUO HUAN-TING,
[1] A recurrence formula for $\zeta(2n)$, Bull. Amer. Math. Soc., 55 (1949). 573--574.
Z032.34501; M10,683d

Kupershmidt, Boris A.,
[1] Reflection symmetries of $q$-Bernoulli polynomials. J. Nonlinear Math. Phys. 12 (2005), suppl. 1, 412-422.
M2005k:11040

KURIHARA A.,
[1] On the values at non-positive integers of Siegel's zeta functions of $ Q$-anisotropic quadratic forms with signature $(1, n-1)$. J. Fac. Sci. Univ. of Tokyo Sect. IA Math., 28 (1981), no.3, 567-584.
Z495.10019; M84a:10021

KURIHARA F.,
[1] On the p-adic expansion of units of cyclotomic fields, J. Number Theory, 32 (1989), no. 2, 226-253.
Z689.12005; M90k:11138; R1990,2A337

KURIHARA M.,
[1] Some remarks on conjectures about cyclotomic fields and $K$-groups of $ Z$. Compositio Math., 81 (1992), no. 2, 223-236.
Z747.11055; M93a:11091

KUROKAWA N.: see KATO K., KUROKAWA N., SAITO T.

KUROKAWA N.: see also KANEKO M., KUROKAWA N., WAKAYAMA M.

KURT V.,
[1] Remarks on higher-dimensional Dedekind sums, Math. Japon. 45 (1997), no. 2, 297-301.
Z882.11024; M98c:11037

KURT V.: see also CENKCI M., CAN MIMIN, KURT V.

KÜTTNER W.,
[1] Zur Theorie der Bernoullischen Zahlen, Zeits. für Math. u. Phys., 24 (1879), 250-252.
J11.0188.01

KUZMIN L.V.,
[1] Algebraic number fields. (Russian) Algebra. Topology. Geometry, Vol. 22, (Itogi. Nauki i Tekhniki, Akad. Nauk. SSSR), Moscow, 1984, 117-204.
Z563.12002; M86f:11076; R1985,1A446

KUZNETSOV A. G., PAK I. M., POSTNIKOV A. E.,
[1] Increasing trees and alternating permutations. (Russian) Uspekhi Mat. Nauk 49 (1994), no. 6(300), 79-110. Translated in: Russian Math. Surveys 49 (1994), no. 6, 79-114.
Z842.05025; M96e:05048

KUZUMAKI T.: see KANEMITSU S., KUZUMAKI T.

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

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