Convolution sums arising from divisor functions

Aeran Kim; Daeyeoul Kim; Li Yan

doi:10.4134/JKMS.2013.50.2.331

Convolution sums arising from divisor functions

Aeran Kim
, Daeyeoul Kim
, Li Yan

Department of Mathematics

Jeonbuk National University
National Institute for Mathematical Sciences
China Agricultural University

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

9 Scopus citations

Abstract

Let σ_s(N) denote the sum of the sth powers of the positive divisors of a positive integer N and let σs(N) = ∑_d|N (-1)^d-1d^s with d, N, and s positive integers. Hahn [12] proved that In this paper, we give a generalization of Hahn's result. Furthermore, wefind the formula.

Original language	English
Pages (from-to)	331-360
Number of pages	30
Journal	Journal of the Korean Mathematical Society
Volume	50
Issue number	2
DOIs	https://doi.org/10.4134/JKMS.2013.50.2.331
State	Published - 2013

Keywords

Convolution sums
Weiersratss (x) functions

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.4134/JKMS.2013.50.2.331

Cite this

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title = "Convolution sums arising from divisor functions",

abstract = "Let σs(N) denote the sum of the sth powers of the positive divisors of a positive integer N and let σs(N) = ∑d|N (-1)d-1ds with d, N, and s positive integers. Hahn [12] proved that In this paper, we give a generalization of Hahn's result. Furthermore, wefind the formula.",

keywords = "Convolution sums, Weiersratss (x) functions",

author = "Aeran Kim and Daeyeoul Kim and Li Yan",

year = "2013",

doi = "10.4134/JKMS.2013.50.2.331",

language = "English",

volume = "50",

pages = "331--360",

journal = "Journal of the Korean Mathematical Society",

issn = "0304-9914",

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TY - JOUR

T1 - Convolution sums arising from divisor functions

AU - Kim, Aeran

AU - Kim, Daeyeoul

AU - Yan, Li

PY - 2013

Y1 - 2013

N2 - Let σs(N) denote the sum of the sth powers of the positive divisors of a positive integer N and let σs(N) = ∑d|N (-1)d-1ds with d, N, and s positive integers. Hahn [12] proved that In this paper, we give a generalization of Hahn's result. Furthermore, wefind the formula.

AB - Let σs(N) denote the sum of the sth powers of the positive divisors of a positive integer N and let σs(N) = ∑d|N (-1)d-1ds with d, N, and s positive integers. Hahn [12] proved that In this paper, we give a generalization of Hahn's result. Furthermore, wefind the formula.

KW - Convolution sums

KW - Weiersratss (x) functions

UR - https://www.scopus.com/pages/publications/84876162524

U2 - 10.4134/JKMS.2013.50.2.331

DO - 10.4134/JKMS.2013.50.2.331

M3 - Journal article

AN - SCOPUS:84876162524

SN - 0304-9914

VL - 50

SP - 331

EP - 360

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 2

ER -

Convolution sums arising from divisor functions

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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