Bernoulli Bibliography

Publications added in 2005

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.

December 30, 2005:

Zhang, Tianping; Ma, Yuankui,
[1] On generalized Fibonacci polynomials and Bernoulli numbers. J. Integer Seq. 8 (2005), no. 5, Article 05.5.3, 6 pp. (electronic).

November 29, 2005:

Bayad, Abdelmejid,
[1] Applications aux sommes elliptiques d'Apostol-Dedekind-Zagier. (French) [Applications to elliptic Apostol-Dedekind-Zagier sums] C. R. Math. Acad. Sci. Paris 339 (2004), no. 8, 529-532.
M2005k:11094

Choie, Youngju; Kohnen, Winfried; Ono, Ken,
[1] Linear relations between modular form coefficients and non-ordinary primes. Bull. London Math. Soc. 37 (2005), no. 3, 335-341.
M2005m:11081

Howard, F. T.,
[21] A general lacunary recurrence formula. Applications of Fibonacci numbers. Vol. 9, 121-135, Kluwer Acad. Publ., Dordrecht, 2004.
Z1064.11007; M2005e:11026

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

Kim, Taekyun; Rim, Seog-Hoon;
[2] A note on two variable Dirichlet's $L$-function. Adv. Stud. Contemp. Math. (Kyungshang) 10 (2005), no. 1, 1-6.
M2005g:11025

Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon,
[1] On the two-variable Dirichlet $q$-$L$-series. Adv. Stud. Contemp. Math. (Kyungshang) 10 (2005), no. 2, 131-142.
M2005m:11222

Parks, Harold R.,

[1] Sums of non-integral powers. J. Math. Anal. Appl. 297 (2004), no. 1, 343-349.
M2005f:11026

Sekine, Chizuru,
[1] Dedekind sums with roots of unity and their reciprocity law. Tokyo J. Math. 26 (2003), no. 2, 485-494.
Z1044.11027; M2004i:11038; R04.10-13A.179

November 26, 2005:

Grosset, Marie-Pierre; Veselov, Alexander P.,
[1] Bernoulli numbers and solitons. J. Nonlinear Math. Phys. 12 (2005), no. 4, 469-474.

Liu, Guodong; Luo, Hui,
[1] Some identities involving Bernoulli numbers. Fibonacci Quart. 43 (2005), no. 3, 208-212.

Simsek, Yilmaz,
[3] Theorems on twisted $L$-function and twisted Bernoulli numbers. Adv. Stud. Contemp. Math. (Kyungshang) 11 (2005), no. 2, 205-218.

Can, Mümün; Cenkci, Mehmet; Kurt, Veli,
[1] A recurrence relation for Bernoulli numbers. Bull. Korean Math. Soc. 42 (2005), no. 3, 617-622.

Sun, Zhe; Yin, Xi Rong,
[1] Integral polynomials of Bernoulli's polynomials. (Chinese). Math. Practice Theory 35 (2005), no. 2, 152-158.

Ryoo, C. S.; Kim, T.; Agarwal, R. P.,
[1] Exploring the multiple Changhee $q$-Bernoulli polynomials. Int. J. Comput. Math. 82 (2005), no. 4, 483-493.

Liu, Guo Dong,
[12] Degenerate Bernoulli numbers and polynomials of higher order. (Chinese). J. Math. (Wuhan) 25 (2005), no. 3, 283-288.
M2006a:05007

Robbins, Neville,
[2] Some arithmetic properties of Bernoulli numbers. JP J. Algebra Number Theory Appl. 5 (2005), no. 1, 201-204.
M2006a:11023

Luo, Qiu-Ming; Srivastava, H. M.,
[1] Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials. J. Math. Anal. Appl. 308 (2005), no. 1, 290-302.

Jeong, Sangtae; Kim, Min-Soo; Son, Jin-Woo,
[1] On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic. J. Number Theory 113 (2005), no. 1, 53-68.

Kulkarni, Manisha; Sury, B.,
[1] A class of Diophantine equations involving Bernoulli polynomials. Indag. Math. (N.S.) 16 (2005), no. 1, 51-65.
M2005m:11047

Veselov, A. P.; Ward, J. P.
[1] On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials. J. Math. Anal. Appl. 305 (2005), no. 2, 712-721.
M2005k:11182

Chen, Kwang-Wu,
[4] A summation on Bernoulli numbers. J. Number Theory 111 (2005), no. 2, 372-391.
M2005k:11039

Nakamura, Takashi,
[1] Bernoulli numbers and multiple zeta values. Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 2, 21-22.
M2005m:11032

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

Gessel, Ira M.
[5] Applications of the classical umbral calculus. Dedicated to the memory of Gian-Carlo Rota. Algebra Universalis 49 (2003), no. 4, 397-434.
M2004k:05029

Gessel, Ira M.
[6] On Miki's identity for Bernoulli numbers. J. Number Theory 110 (2005), no. 1, 75-82.
M2005j:11019

Kulkarni, Manisha; Sury, B.,
[2] Diophantine equations with Bernoulli polynomials. Acta Arith. 116 (2005), no. 1, 25-34.
M2005i:11038

Ryoo, C. S.,
[1] Structure of the zeros of $q$-Bernoulli polynomials. J. Appl. Math. Comput. 17 (2005), no. 1-2, 49-58.
M2005h:11040

Luo, Qiu-Ming,
[4] Some recursion formulae and relations for Bernoulli numbers and Euler numbers of higher order. Adv. Stud. Contemp. Math. (Kyungshang) 10 (2005), no. 1, 63-70.
M2005h:11039

Costabile, F. A.; Dell'Accio, F.; Luceri, R.,
[1] Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values. J. Comput. Appl. Math. 176 (2005), no. 1, 77-90.
M2005h:41008

Bretti, Gabriella; Ricci, Paolo E.,
[2] Multidimensional extensions of the Bernoulli and Appell polynomials. Taiwanese J. Math. 8 (2004), no. 3, 415-428.

Chu, Wei Pan; Dang, Si Shan,
[1] An identical formula describing the relationship between Bernoulli numbers and second-kind Stirling numbers. (Chinese) Pure Appl. Math. (Xi'an) 20 (2004), no. 3, 282-284.

Wang, Nian Liang,
[1] Sum of products involving Bernoulli polynomials and Euler polynomials. (Chinese) Basic Sci. J. Text. Univ. 17 (2004), no. 4, 292-295.

Luo, Qiu-Ming,
[5] On the Apostol-Bernoulli polynomials. Cent. Eur. J. Math. 2 (2004), no. 4, 509-515 (electronic).
M2005m:11031

Pathan, M. A.,
[1] Generating functions of the Laguerre-Bernoulli polynomials involving bilateral series. South East Asian J. Math. Math. Sci. 3 (2004), no. 1, 33-38.
Z1063.33011; M2005i:33012

Zhao, Feng-Zhen; Wang, Tianming,
[1] Values of Nörlund Euler polynomials and Nörlund Bernoulli polynomials. C. R. Math. Acad. Sci. Soc. R. Can. 26 (2004), no. 4, 97-101.
M2005h:11041

Wu, Ke-Jian; Sun, Zhi-Wei; Pan, Hao,
[1] Some identities for Bernoulli and Euler polynomials. Fibonacci Quart. 42 (2004), no. 4, 295-299.
Z1064.11019; M2006a:11024

Ryoo, C. S.; Song, H.,
[1] On the real roots of the Changhee-Barnes' $q$-Bernoulli polynomials. Proceedings of the 15th International Conference of the Jangjeon Mathematical Society, 63--85, Jangjeon Math. Soc., Hapcheon, 2004.
M2005j:11021

Jang, Lee-Chae,
[2] A note on the twisted $q$-zeta functions and the twisted $q$-Bernoulli polynomials. Proceedings of the 15th International Conference of the Jangjeon Mathematical Society, 57--62, Jangjeon Math. Soc., Hapcheon, 2004.
M2005m:11030

Luo, Qiu-ming; Qi, Feng,
[2] Generalizations of Euler numbers and Euler numbers of higher order. Chinese Quart. J. Math. 20 (2005), no. 1, 54-58.

Wang, Hai Lin; Luo, Jian Jin,
[1] Research on the relations between Euler numbers, Dai Xu numbers and gear mutation. (Chinese) Stud. Hist. Nat. Sci. 24 (2005), no. 1, 53-59.

Liu, Guodong,
[2] On congruences of Euler numbers modulo an odd square. Fibonacci Quart. 43 (2005), no. 2, 132-136.
M2006a:11021

Shenton, L. R.; Bowman, K. O.,
[1] Polygamma functions, the zeta functions, and Euler numbers. Far East J. Appl. Math. 18 (2005), no. 3, 241-249.
M2006a:11110

Simsek, Yilmaz,
[4] $q$-analogue of twisted $l$-series and $q$-twisted Euler numbers. J. Number Theory 110 (2005), no. 2, 267-278.
M2005k:11041

Simsek, Y.; Kim, T.; Park, D. W.; Ro, Y. S.; Jang, L. C.; Rim, S. H.,
[1] An explicit formula for the multiple Frobenius-Euler numbers and polynomials. JP J. Algebra Number Theory Appl. 4 (2004), no. 3, 519-529.

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

Yuan, Pingzhi,
[1] A conjecture on Euler numbers. Proc. Japan Acad. Ser. A Math. Sci. 80 (2004), no. 9, 180-181.
M2005f:11030

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

Domaratzki, Michael,
[1] Combinatorial interpretations of a generalization of the Genocchi numbers. J. Integer Seq. 7 (2004), no. 3, Article 04.3.6, 11 pp. (electronic).
M2005h:11031

Guerzhoy, P.,
[1] The Ramanujan differential operator, a certain CM elliptic curve and Kummer congruences. Compos. Math. 141 (2005), no. 3, 583-590.
M2005m11083

Adelberg, Arnold,
[10] Universal Kummer congruences mod prime powers. J. Number Theory 109 (2004), no. 2, 362-378.
M2005j:11018

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