Bernoulli Bibliography

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This file contains, in reverse chronological order, the latest items that have been added to the bibliography. For references to the reviewing journals, see the main bibliography.
March 10, 2007:

Son, Jin-Woo; Jang, Douk Soo,
[2] Explicit evaluations of special multiple zeta values, $\zeta(\{4l+2\}\sb n)$ and $\zeta(\{4l\}\sb n)$. Commun. Korean Math. Soc. 20 (2005), no. 2, 247-257.

Rivoal, Tanguy,
[1] Nombres d'Euler, approximants de Padé et constante de Catalan. Ramanujan J. 11 (2006), no. 2, 199-214.

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

Pan, Hao; Sun, Zhi-Wei,
[2] On $q$-Euler numbers, $q$-SaliƩ numbers and $q$-Carlitz numbers. Acta Arith. 124 (2006), no. 1, 41-57.

Yang, Qian Li,
[1] On a congruence of the Euler numbers. (Chinese) J. Northwest Univ. 36 (2006), no. 3, 351-352.

Jang, Lee-Chae; Kim, Seoung-Dong; Park, Dal-Won; Ro, Young-Soon,
[1] A note on Euler number and polynomials. J. Inequal. Appl. 2006, Art. ID 34602, 5 pp.

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

Guo, Victor J. W.; Zeng, Jiang,
[1] Some arithmetic properties of the $q$-Euler numbers and $q$-Salié numbers. European J. Combin. 27 (2006), no. 6, 884-895.

Désarménien, Jacques,
[1] Un analogue des congruences de Kummer pour les $q$-nombres d'Euler. European J. Combin. 3 (1982), no. 1, 19-28.

Foata, Dominique,
[4] Further divisibility properties of the $q$-tangent numbers. Proc. Amer. Math. Soc. 81 (1981), no. 1, 143--148.

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.

Liu, Guodong,
[14] Congruences for higher-order Euler numbers. Proc. Japan Acad. Ser. A Math. Sci. 82 (2006), no. 3, 30-33.

Luo, Hui; Liu, Guo Dong,
[1] Congruences for higher-order Euler numbers. (Chinese) Pure Appl. Math. (Xi'an) 21 (2005), no. 4, 345-348.

Luo, Qiu Min; Li, Chang Qing,
[1] Generalizations of the Euler numbers of higher order and their applications. (Chinese) Pure Appl. Math. (Xi'an) 21 (2005), no. 4, 325-328, 334.

Luo, Qiu-Ming,
[6] An explicit formula for the Euler numbers of higher order. Tamkang J. Math. 36 (2005), no. 4, 315-317.

[7] An explicit formula for the Euler polynomials. Integral Transforms Spec. Funct. 17 (2006), no. 6, 451-454.

[8] Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions. Taiwanese J. Math. 10 (2006), no. 4, 917-925.

Tsumura, Hirofumi,
[7] Certain functional relations for the double harmonic series related to the double Euler numbers. J. Aust. Math. Soc. 79 (2005), no. 3, 319-333.

Sun, Zhi-Wei,
[3] On Euler numbers modulo powers of two. J. Number Theory 115 (2005), no. 2, 371-380.

Luo, Qiu Ming; Liu, Ai Qi,
[1] Generalizations of higher-order Euler polynomials and their applications. (Chinese) J. Math. (Wuhan) 26 (2006), no. 5, 574-578.

Sun, Zhi-Wei,
[4] Explicit congruences for Euler polynomials. Number theory, 205--218, Dev. Math., 15, Springer, New York, 2006.

Ryoo, C. S.; Kim, T.; Agarwal, R. P.,
[3] Distribution of the roots of the Euler-Barnes' type $q$-Euler polynomials. Neural Parallel Sci. Comput. 13 (2005), no. 3-4, 381-392.

Ryoo, C. S.,
[3] A numerical investigation on the zeros of the Genocchi polynomials. J. Appl. Math. Comput. 22 (2006), no. 1-2, 125-132.

Polezzi, Marcelo,
[1] Congruences for tangent and Genocchi numbers. JP J. Algebra Number Theory Appl. 6 (2006), no. 1, 111-116.

Zeng, Jiang; Zhou, Jin,
[1] A $q$-analog of the Seidel generation of Genocchi numbers. European J. Combin. 27 (2006), no. 3, 364-381.

Cenkci, Mehmet; Can, Mümün; Kurt, Veli,
[2] $q$-extensions of Genocchi numbers. J. Korean Math. Soc. 43 (2006), no. 1, 183-198.

Cenkci, Mehmet; Can, Mümün,
[1] Some results on $q$-analogue of the Lerch zeta function. Adv. Stud. Contemp. Math. (Kyungshang) 12 (2006), no. 2, 213-223.

Peart, Paul; Woan, Wen-Jin; Tankersley, Barbara,
[1] Algebraic and combinatorial interpretations of the Genocchi triangle. 36th Southeastern International Conference on Combinatorics, Graph Theory, and Computing. Congr. Numer. 175 (2005), 45-51.

Everest, G.; van der Poorten, A. J.; Puri, Y.; Ward, T.,
[1] Integer sequences and periodic points. J. Integer Seq. 5 (2002), no. 2, Article 02.2.3, 10 pp. (electronic).

Arias de Reyna, J.,
[1] Dynamical zeta functions and Kummer congruences. Acta Arith. 119 (2005), no. 1, 39-52.

March 3, 2007:

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

Caira, R.; Dell'Accio, F.,
[1] Shepard-Bernoulli operators. Math. Comp. 76 (2007), no. 257, 299--321.

Sun, Zhi-Wei; Pan, Hao,
[1] Identities concerning Bernoulli and Euler polynomials. Acta Arith. 125 (2006), no. 1, 21--39.

Simsek, Yilmaz,
[5] Twisted $(h,q)$-Bernoulli numbers and polynomials related to twisted $(h,q)$-zeta function and $L$-function. J. Math. Anal. Appl. 324 (2006), no. 2, 790--804.

[6] On $p$-adic twisted $q\text{-}L$-functions related to generalized twisted Bernoulli numbers. Russ. J. Math. Phys. 13 (2006), no. 3, 340--348.

Garg, Mridula; Jain, Kumkum; Srivastava, H. M.,
[1] Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions. Integral Transforms Spec. Funct. 17 (2006), no. 11, 803--815.

Yang, Sheng Liang; Qiao, Zhan Ke; Ma, Cheng Ye,
[1] Relationship between Bernoulli polynomials and power sum polynomials. (Chinese) J. Lanzhou Univ. Technol. 32 (2006), no. 4, 130--132.

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

Yi, Yuan,
[1] Some identities involving Bernoulli numbers and Euler numbers. Sci. Magna 2 (2006), no. 1, 102--107.

Rubinstein, Boris Y.; Fel, Leonid G.,
[1] Restricted partition functions as Bernoulli and Eulerian polynomials of higher order. Ramanujan J. 11 (2006), no. 3, 331--347.

Butzer, P. L.; Pogány, Tibor K.; Srivastava, H. M.,
[1] A linear ODE for the Omega function associated with the Euler function $E\sb \alpha(z)$ and the Bernoulli function $B\sb \alpha(z)$. Appl. Math. Lett. 19 (2006), no. 10, 1073--1077.

Zhang, Zhizheng; Wang, Jun,
[1] Bernoulli matrix and its algebraic properties. Discrete Appl. Math. 154 (2006), no. 11, 1622--1632.

Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E.,
[1] Distribution of harmonic sums and Bernoulli polynomials modulo a prime. Math. Z. 253 (2006), no. 4, 855--865.

Hegazi, A. S.; Mansour, M.,
[1] A note on $q$-Bernoulli numbers and polynomials. J. Nonlinear Math. Phys. 13 (2006), no. 1, 9--18.

Doyon, B.; Lepowsky, J.; Milas, A.,
[1] Twisted vertex operators and Bernoulli polynomials. Commun. Contemp. Math. 8 (2006), no. 2, 247--307.

Costabile, F.; Dell'Accio, F.; Gualtieri, M. I.,
[1] A new approach to Bernoulli polynomials. Rend. Mat. Appl. (7) 26 (2006), no. 1, 1--12.

Zeng, Jiang,
[2] The Akiyama-Tanigawa algorithm for Carlitz's $q$-Bernoulli numbers. Integers 6 (2006), A5, 10 pp. (electronic).


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