View : 70 Download: 0

Evaluation of the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) with lcm(a,b,c) = 7,8 or 9

Title
Evaluation of the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) with lcm(a,b,c) = 7,8 or 9
Authors
Park Y.K.
Ewha Authors
박윤경
SCOPUS Author ID
박윤경scopus
Issue Date
2018
Journal Title
International Journal of Number Theory
ISSN
1793-0421JCR Link
Citation
pp. 1 - 14
Keywords
convolution sumDivisor functionsquasimodular form
Publisher
World Scientific Publishing Co. Pte Ltd
Indexed
SCIE; SCOPUS scopus
Abstract
It is known that the generating functions of divisor functions are quasimodular forms of weight (Formula presented.). Hence their product is a quasimodular form of higher weight. In this paper, we evaluate the convolution sums (Formula presented.) for all positive integers (Formula presented.) with (Formula presented.) or (Formula presented.) using theory of modular form. © 2018 World Scientific Publishing Company
DOI
10.1142/S1793042118500999
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