The multinomial convolution sums of certain divisor functions

Bumkyu Cho; Daeyeoul Kim; Ho Park

doi:10.1016/j.jmaa.2016.11.052

The multinomial convolution sums of certain divisor functions

Bumkyu Cho, Daeyeoul Kim, Ho Park

Department of Mathematics

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

6 Scopus citations

Abstract

In this article we first introduce some results about the binomial, trinomial, and quadrinomial convolution sums of certain divisor functions and then we provide an identity for the multinomial convolution sums of the divisor function σ_r ^♯(n):=∑_{d|nn/d≡1(4)}d^r−(−1)^r∑_{d|nn/d≡−1(4)}d^r.

Original language	English
Pages (from-to)	1163-1174
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	448
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2016.11.052
State	Published - 15 Apr 2017

Keywords

Convolution sums
Divisor functions

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10.1016/j.jmaa.2016.11.052

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abstract = "In this article we first introduce some results about the binomial, trinomial, and quadrinomial convolution sums of certain divisor functions and then we provide an identity for the multinomial convolution sums of the divisor function σr ♯(n):=∑d|nn/d≡1(4)dr−(−1)r∑d|nn/d≡−1(4)dr.",

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AB - In this article we first introduce some results about the binomial, trinomial, and quadrinomial convolution sums of certain divisor functions and then we provide an identity for the multinomial convolution sums of the divisor function σr ♯(n):=∑d|nn/d≡1(4)dr−(−1)r∑d|nn/d≡−1(4)dr.

KW - Convolution sums

KW - Divisor functions

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The multinomial convolution sums of certain divisor functions

Abstract

Keywords

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