Bernoulli Identities and Combinatoric Convolution Sums with Odd Divisor Functions

被引：1

作者：

Kim, Daeyeoul ^{[1
]}

Park, Yoon Kyung ^{[2
]}

机构：

[1] Natl Inst Math Sci, Taejon 305811, South Korea

[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

D O I：

10.1155/2014/890973

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the combinatoric convolution sums involving odd divisor functions, their relations to Bernoulli numbers, and some interesting applications.

引用

页数：8

共 50 条

[1] Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions
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ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[2] Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions
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Nazli Yildiz Ikikardes
Advances in Difference Equations, 2013
[3] A PRODUCT FORMULA FOR COMBINATORIC CONVOLUTION SUMS OF ODD DIVISOR FUNCTIONS
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Kim, Daeyeoul
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HONAM MATHEMATICAL JOURNAL, 2016, 38 (02): : 243 - 257
[4] RELATIONS OF COMBINATORIC CONVOLUTION SUMS FOR RESTRICTED DIVISOR FUNCTIONS AND BERNOULLI POLYNOMIALS
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MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 731 - 748
[5] Bernoulli numbers and certain convolution sums with divisor functions
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Kim, Aeran
Ikikardes, Nazli Yildiz
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[6] Bernoulli numbers and certain convolution sums with divisor functions
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Aeran Kim
Nazli Yildiz Ikikardes
Advances in Difference Equations, 2013
[7] Euler Polynomials and Combinatoric Convolution Sums of Divisor Functions with Even Indices
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Bayad, Abdelmejid
Park, Joongsoo
ABSTRACT AND APPLIED ANALYSIS, 2014,
[8] A Study of Approximate Normal Distribution Derived from Combinatoric Convolution Sums of Divisor Functions
Kim, Daeyeoul
Lee, Kwangchul
Seo, Gyeong-Sig
FILOMAT, 2016, 30 (07) : 1811 - 1821
[9] 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
[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

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