Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박윤경 | - |
dc.date.accessioned | 2017-10-27T11:45:20Z | - |
dc.date.available | 2017-10-27T11:45:20Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 1793-0421 | - |
dc.identifier.other | OAK-21045 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/237173 | - |
dc.description.abstract | The generating functions of divisor functions are quasimodular forms of weight 2 and the product of them is a quasimodular form of higher weight. In this work, we evaluate the convolution sumsa1m1+a2m2+a3m3+a4m4=nσ(m1)σ(m2)σ(m3)σ(m4) for the positive integers a1,a2,a3,a4, and n with lcm(a1,a2,a3,a4) ≤ 4. We reprove the known formulas for the number of representations of a positive integer n by each of the quadratic forms j=016x j2 and j=18(x 2j-12 + x 2j-1x2j + x2j2) as an application of the new identities proved in this paper. © 2017 World Scientific Publishing Company. | - |
dc.language | English | - |
dc.publisher | World Scientific Publishing Co. Pte Ltd | - |
dc.subject | Convolution sum | - |
dc.subject | quasimodular form | - |
dc.subject | sums of divisor functions | - |
dc.subject | the number of representation by quadratic forms | - |
dc.title | Evaluation of the convolution sums σa1m1+a2m2+a3m3+a4m4=nσ (m1) σ (m2) σ (m3) σ (m4) with lcm (α1,a2,a3,a4) ≤ 4 | - |
dc.type | Article | - |
dc.relation.issue | 8 | - |
dc.relation.volume | 13 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 2155 | - |
dc.relation.lastpage | 2173 | - |
dc.relation.journaltitle | International Journal of Number Theory | - |
dc.identifier.doi | 10.1142/S1793042117501160 | - |
dc.identifier.wosid | WOS:000407102900012 | - |
dc.identifier.scopusid | 2-s2.0-85017028256 | - |
dc.author.google | Lee J. | - |
dc.author.google | Park Y.K. | - |
dc.contributor.scopusid | 박윤경(55494371400) | - |
dc.date.modifydate | 20220119162905 | - |