# New Publications

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, $q$-Salié 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).