Certain combinatoric bernoulli polynomials and convolution sums of divisor functions

Daeyeoul Kim; Nazli Yildiz Ikikardes

doi:10.1186/1687-1847-2013-310

Certain combinatoric bernoulli polynomials and convolution sums of divisor functions

Daeyeoul Kim
, Nazli Yildiz Ikikardes^*

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences
Balikesir University

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

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 σ_s(n) = Σ _d\n (-1)^n/d-1 d ^s. Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials.

Original language	English
Article number	310
Journal	Advances in Difference Equations
Volume	2013
DOIs	https://doi.org/10.1186/1687-1847-2013-310
State	Published - 2013.11

Keywords

Bernoulli numbers
Convolution sums

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10.1186/1687-1847-2013-310

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title = "Certain combinatoric bernoulli polynomials and convolution sums of divisor functions",

abstract = "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 σs(n) = Σ d\textbackslash{}n (-1)n/d-1 d s. Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials.",

keywords = "Bernoulli numbers, Convolution sums",

author = "Daeyeoul Kim and Ikikardes, \{Nazli Yildiz\}",

year = "2013",

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language = "English",

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T1 - Certain combinatoric bernoulli polynomials and convolution sums of divisor functions

AU - Kim, Daeyeoul

AU - Ikikardes, Nazli Yildiz

PY - 2013/11

Y1 - 2013/11

N2 - 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 σs(n) = Σ d\n (-1)n/d-1 d s. Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials.

AB - 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 σs(n) = Σ d\n (-1)n/d-1 d s. Finally, we find a formula of certain combinatoric convolution sums and Bernoulli polynomials.

KW - Bernoulli numbers

KW - Convolution sums

UR - https://www.scopus.com/pages/publications/84897891455

U2 - 10.1186/1687-1847-2013-310

DO - 10.1186/1687-1847-2013-310

M3 - Journal article

AN - SCOPUS:84897891455

SN - 1687-1839

VL - 2013

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 310

ER -

Certain combinatoric bernoulli polynomials and convolution sums of divisor functions

Abstract

Keywords

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