Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박윤경 | - |
dc.date.accessioned | 2016-08-29T12:08:02Z | - |
dc.date.available | 2016-08-29T12:08:02Z | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.other | OAK-18989 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/231703 | - |
dc.description.abstract | The generating functions of divisor functions are quasimodular forms and their products belong to a space of quasimodular forms of higher weight. In this work, we evaluate the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) for all positive integers a,b,c,n with lcm(a,b,c)≤6. The evaluation of this convolution sum in the case (a,b,c)=(1,1,1) is due to Lahiri [17] and in the cases (a,b,c)=(1,1,2),(1,2,2) and (1,2,4) to Alaca, Uygul and Williams [7]. As an application, the known formulas for the number of representations of a positive integer n by each of the quadratic forms∑j=012xj 2 and ∑j=16(x2j−1 2+x2j−1x2j+x2j 2) are reproved using new identities proved in this paper. © 2016 Elsevier Inc. | - |
dc.language | English | - |
dc.publisher | Academic Press Inc. | - |
dc.subject | Convolution sum | - |
dc.subject | Quasimodular form | - |
dc.subject | The number of representation by quadratic forms | - |
dc.title | Evaluation of the convolution sums ∑ak + bl + cm = nσ(k)σ(l)σ(m) with lcm(a,b,c)≤6 | - |
dc.type | Article | - |
dc.relation.volume | 168 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 257 | - |
dc.relation.lastpage | 275 | - |
dc.relation.journaltitle | Journal of Number Theory | - |
dc.identifier.doi | 10.1016/j.jnt.2016.04.025 | - |
dc.identifier.wosid | WOS:000380291100017 | - |
dc.identifier.scopusid | 2-s2.0-84976572300 | - |
dc.author.google | Park Y.K. | - |
dc.contributor.scopusid | 박윤경(55494371400) | - |
dc.date.modifydate | 20220119162905 | - |