Convolution sums of a divisor function for prime levels

Bumkyu Cho

doi:10.1142/S179304212050027X

Convolution sums of a divisor function for prime levels

Bumkyu Cho

Department of Mathematics

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

7 Scopus citations

Abstract

Recently, many identities for the convolution sum W_a,b(n):=Σ_a,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σ_d|nd have been obtained since Royer obtained by the theory of quasimodular forms. We also present new identities for ab = 17, 29, 41, 47, 59 and 71 by using quasimodular forms.

Original language	English
Pages (from-to)	537-546
Number of pages	10
Journal	International Journal of Number Theory
Volume	16
Issue number	3
DOIs	https://doi.org/10.1142/S179304212050027X
State	Published - 1 Apr 2020

Keywords

convolution sums
Divisor functions
quasimodular forms

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10.1142/S179304212050027X

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title = "Convolution sums of a divisor function for prime levels",

abstract = "Recently, many identities for the convolution sum Wa,b(n):=Σa,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σd|nd have been obtained since Royer obtained by the theory of quasimodular forms. We also present new identities for ab = 17, 29, 41, 47, 59 and 71 by using quasimodular forms.",

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AU - Cho, Bumkyu

PY - 2020/4/1

Y1 - 2020/4/1

N2 - Recently, many identities for the convolution sum Wa,b(n):=Σa,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σd|nd have been obtained since Royer obtained by the theory of quasimodular forms. We also present new identities for ab = 17, 29, 41, 47, 59 and 71 by using quasimodular forms.

AB - Recently, many identities for the convolution sum Wa,b(n):=Σa,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σd|nd have been obtained since Royer obtained by the theory of quasimodular forms. We also present new identities for ab = 17, 29, 41, 47, 59 and 71 by using quasimodular forms.

KW - convolution sums

KW - Divisor functions

KW - quasimodular forms

UR - https://www.scopus.com/pages/publications/85072583382

U2 - 10.1142/S179304212050027X

DO - 10.1142/S179304212050027X

M3 - Article

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VL - 16

SP - 537

EP - 546

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 3

ER -

Convolution sums of a divisor function for prime levels

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Keywords

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