Evaluation of a certain combinatorial convolution sum in higher level cases

Bumkyu Cho; Daeyeoul Kim; Ho Park

doi:10.1016/j.jmaa.2013.04.052

Evaluation of a certain combinatorial convolution sum in higher level cases

Bumkyu Cho
, Daeyeoul Kim
, Ho Park

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

It is known that certain combinatorial convolution sums involving divisor functions of "levels" 1 and 2 can be explicitly expressed as a linear combination of divisor functions. In this article we deal with a case for arbitrary level and obtain an explicit expression.

Original language	English
Pages (from-to)	203-210
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	406
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.04.052
State	Published - 1 Oct 2013

Keywords

Combinatorial convolution sums
Convolution sums
Divisor functions
Eisenstein series

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10.1016/j.jmaa.2013.04.052

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abstract = "It is known that certain combinatorial convolution sums involving divisor functions of {"}levels{"} 1 and 2 can be explicitly expressed as a linear combination of divisor functions. In this article we deal with a case for arbitrary level and obtain an explicit expression.",

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AU - Kim, Daeyeoul

AU - Park, Ho

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N2 - It is known that certain combinatorial convolution sums involving divisor functions of "levels" 1 and 2 can be explicitly expressed as a linear combination of divisor functions. In this article we deal with a case for arbitrary level and obtain an explicit expression.

AB - It is known that certain combinatorial convolution sums involving divisor functions of "levels" 1 and 2 can be explicitly expressed as a linear combination of divisor functions. In this article we deal with a case for arbitrary level and obtain an explicit expression.

KW - Combinatorial convolution sums

KW - Convolution sums

KW - Divisor functions

KW - Eisenstein series

UR - https://www.scopus.com/pages/publications/84878795894

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DO - 10.1016/j.jmaa.2013.04.052

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SP - 203

EP - 210

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

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Evaluation of a certain combinatorial convolution sum in higher level cases

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Keywords

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