View : 55 Download: 0

Evaluation of the convolution sums al+bm=n lσ(l) σ(m) with ab ≤ 9

Title
Evaluation of the convolution sums al+bm=n lσ(l) σ(m) with ab ≤ 9
Authors
Park Y.K.
Ewha Authors
박윤경
SCOPUS Author ID
박윤경scopus
Issue Date
2017
Journal Title
Open Mathematics
ISSN
2391-5455JCR Link
Citation
Open Mathematics vol. 15, no. 1, pp. 1389 - 1399
Keywords
Convolution sumDivisor functionQuasimodular form
Publisher
De Gruyter Open Ltd
Indexed
SCIE; SCOPUS scopus
Document Type
Article
Abstract
The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight. In this article, we evaluate the convolution sumsal+bm=nlσ(l)σ(m) sumal+bm=n σ(l)σ(m) for all positive integers a, b and n with ab ≤ 9 and gcd(a, b) = 1. © 2017 Park.
DOI
10.1515/math-2017-0116
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE