RELATIONS OF COMBINATORIC CONVOLUTION SUMS FOR RESTRICTED DIVISOR FUNCTIONS AND BERNOULLI POLYNOMIALS

被引：0

作者：

Kim, Daeyeoul ^{[1
]}

Ikikardes, Nazli Yildiz ^{[2
]}

机构：

[1] Jeonbuk Natl Univ, Inst Pure & Appl Math, Dept Math, 567 Baekje Daero, Jeonju Si 54896, Jeollabuk Do, South Korea

[2] Balikesir Univ, Necatibey Fac Educ, Dept Math & Sci Educ, TR-10100 Balikesir, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 02期

关键词：

Bernoulli Polynomials; Convolution sums; Divisor functions; Linear combination of polynomials;

D O I：

10.18514/MMN.2021.3369

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study combinatoric convolution sums involving divisor functions. First, we establish some explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli polynomials. Second, we show a formula of the fourth order of convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli polynomials.

引用

页码：731 / 748

页数：18

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