Bernoulli Bibliography

Publications added in 2005


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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.
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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