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

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DC Field	Value	Language
dc.contributor.author	박윤경	-
dc.date.accessioned	2018-02-28T16:30:13Z	-
dc.date.available	2018-02-28T16:30:13Z	-
dc.date.issued	2018	-
dc.identifier.issn	1793-0421	-
dc.identifier.other	OAK-22067	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/240132	-
dc.description.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	-
dc.language	English	-
dc.publisher	World Scientific Publishing Co. Pte Ltd	-
dc.subject	convolution sum	-
dc.subject	Divisor functions	-
dc.subject	quasimodular form	-
dc.title	Evaluation of the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) with lcm(a,b,c) = 7,8 or 9	-
dc.type	Article in Press	-
dc.relation.index	SCIE	-
dc.relation.index	SCOPUS	-
dc.relation.startpage	1	-
dc.relation.lastpage	14	-
dc.relation.journaltitle	International Journal of Number Theory	-
dc.identifier.doi	10.1142/S1793042118500999	-
dc.identifier.scopusid	2-s2.0-85040660871	-
dc.author.google	Park Y.K.	-
dc.contributor.scopusid	박윤경(55494371400)	-
dc.date.modifydate	20220119162905	-