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

Daeyeoul Kim; Nazli Yildiz Ikikardes

doi:10.18514/MMN.2021.3369

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

Daeyeoul Kim
, Nazli Yildiz Ikikardes^*

^*Corresponding author for this work

Department of Mathematics

Balikesir University

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

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	731-748
Number of pages	18
Journal	Miskolc Mathematical Notes
Volume	22
Issue number	2
DOIs	https://doi.org/10.18514/MMN.2021.3369
State	Published - 2021

Keywords

Bernoulli polynomials
Convolution sums
Divisor functions
Linear combination of polynomials

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.18514/MMN.2021.3369

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title = "RELATIONS OF COMBINATORIC CONVOLUTION SUMS FOR RESTRICTED DIVISOR FUNCTIONS AND BERNOULLI POLYNOMIALS",

abstract = "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.",

keywords = "Bernoulli polynomials, Convolution sums, Divisor functions, Linear combination of polynomials",

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

note = "Publisher Copyright: {\textcopyright} 2021. Miskolc University Press",

year = "2021",

doi = "10.18514/MMN.2021.3369",

language = "English",

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journal = "Miskolc Mathematical Notes",

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AU - Kim, Daeyeoul

AU - Ikikardes, Nazli Yildiz

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Bernoulli polynomials

KW - Convolution sums

KW - Divisor functions

KW - Linear combination of polynomials

UR - https://www.scopus.com/pages/publications/85123262962

U2 - 10.18514/MMN.2021.3369

DO - 10.18514/MMN.2021.3369

M3 - Journal article

AN - SCOPUS:85123262962

SN - 1787-2405

VL - 22

SP - 731

EP - 748

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 2

ER -

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

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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