Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions

被引：0
|
作者：
Daeyeoul Kim
Nazli Yildiz Ikikardes
机构：
[1] Yuseong-daero 1689-gil,National Institute for Mathematical Sciences
[2] Balikesir University,Department of Elementary Mathematics Education, Necatibey Faculty of Education
来源：
Advances in Difference Equations | / 2013卷
关键词：
Bernoulli numbers; convolution sums;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is known that certain convolution sums can be expressed as a combination of divisor functions and Bernoulli formula. One of the main goals in this paper is to establish combinatoric convolution sums for the divisor sums σˆs(n)=∑d|n(−1)nd−1ds. Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials.
引用
收藏
相关论文
共 50 条
  • [1] Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions
    Kim, Daeyeoul
    Ikikardes, Nazli Yildiz
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [2] RELATIONS OF COMBINATORIC CONVOLUTION SUMS FOR RESTRICTED DIVISOR FUNCTIONS AND BERNOULLI POLYNOMIALS
    Kim, Daeyeoul
    Ikikardes, Nazli Yildiz
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 731 - 748
  • [3] Bernoulli Identities and Combinatoric Convolution Sums with Odd Divisor Functions
    Kim, Daeyeoul
    Park, Yoon Kyung
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS
    Kim, Daeyeoul
    Bayad, Abdelmejid
    Ikikardes, Nazli Yildiz
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (03) : 537 - 565
  • [5] CERTAIN COMBINATORIC CONVOLUTION SUMS ARISING FROM BERNOULLI AND EULER POLYNOMIALS
    Kim, Daeyeoul
    Sarp, Umit
    Ikikardes, Sebahattin
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 311 - 330
  • [6] Bernoulli numbers and certain convolution sums with divisor functions
    Kim, Daeyeoul
    Kim, Aeran
    Ikikardes, Nazli Yildiz
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [7] Bernoulli numbers and certain convolution sums with divisor functions
    Daeyeoul Kim
    Aeran Kim
    Nazli Yildiz Ikikardes
    Advances in Difference Equations, 2013
  • [8] Euler Polynomials and Combinatoric Convolution Sums of Divisor Functions with Even Indices
    Kim, Daeyeoul
    Bayad, Abdelmejid
    Park, Joongsoo
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] A PRODUCT FORMULA FOR COMBINATORIC CONVOLUTION SUMS OF ODD DIVISOR FUNCTIONS
    Lee, Kwangchul
    Kim, Daeyeoul
    Seo, Gyeong-Sig
    HONAM MATHEMATICAL JOURNAL, 2016, 38 (02): : 243 - 257
  • [10] Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials
    Cho, Bumkyu
    Park, Ho
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (02) : 509 - 525
12345