A property of convolution sum for divisor functions

Daeyeoul Kim; Aeran Kim

doi:10.1063/1.4756143

A property of convolution sum for divisor functions

Daeyeoul Kim
, Aeran Kim

Department of Mathematics

National Institute for Mathematical Sciences
Jeonbuk National University

Research output: Contribution to conference › Conference paper › peer-review

Abstract

In this article, we shall give a generalization of the formula Σ_k=1^N-1σ₁(2ⁿk) σ₃(2ⁿ(N-k)).

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Pages	379-382
Number of pages	4
Edition	1
DOIs	https://doi.org/10.1063/1.4756143
State	Published - 2012
Event	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece Duration: 2012.09.19 → 2012.09.25

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	1479
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Country/Territory	Greece
City	Kos
Period	12.09.19 → 12.09.25

Keywords

Convolution sums
WeierstrassP(x) functions

Quacquarelli Symonds(QS) Subject Topics

Physics & Astronomy

Access to Document

10.1063/1.4756143

Cite this

@inproceedings{1a7436b1de324ccc972e7bd1748d3a3e,

title = "A property of convolution sum for divisor functions",

abstract = "In this article, we shall give a generalization of the formula Σk=1N-1σ1(2nk) σ3(2n(N-k)).",

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

author = "Daeyeoul Kim and Aeran Kim",

year = "2012",

doi = "10.1063/1.4756143",

language = "English",

isbn = "9780735410916",

series = "AIP Conference Proceedings",

number = "1",

pages = "379--382",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics",

edition = "1",

note = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 ; Conference date: 19-09-2012 Through 25-09-2012",

}

Kim, D & Kim, A 2012, A property of convolution sum for divisor functions. in Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics. 1 edn, AIP Conference Proceedings, no. 1, vol. 1479, pp. 379-382, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012, Kos, Greece, 12.09.19. https://doi.org/10.1063/1.4756143

TY - GEN

T1 - A property of convolution sum for divisor functions

AU - Kim, Daeyeoul

AU - Kim, Aeran

PY - 2012

Y1 - 2012

N2 - In this article, we shall give a generalization of the formula Σk=1N-1σ1(2nk) σ3(2n(N-k)).

AB - In this article, we shall give a generalization of the formula Σk=1N-1σ1(2nk) σ3(2n(N-k)).

KW - Convolution sums

KW - WeierstrassP(x) functions

UR - https://www.scopus.com/pages/publications/84883062240

U2 - 10.1063/1.4756143

DO - 10.1063/1.4756143

M3 - Conference paper

AN - SCOPUS:84883062240

SN - 9780735410916

T3 - AIP Conference Proceedings

SP - 379

EP - 382

BT - Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics

T2 - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012

Y2 - 19 September 2012 through 25 September 2012

ER -

A property of convolution sum for divisor functions

Abstract

Publication series

Conference

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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Cite this