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Convolution sums of a divisor function for prime levels
- Authors
- Cho, Bumkyu
- Issue Date
- Apr-2020
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Divisor functions; convolution sums; quasimodular forms
- Citation
- INTERNATIONAL JOURNAL OF NUMBER THEORY, v.16, no.3, pp 537 - 546
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF NUMBER THEORY
- Volume
- 16
- Number
- 3
- Start Page
- 537
- End Page
- 546
- ISSN
- 1793-0421
1793-7310
- Abstract
- Recently, many identities for the convolution sum W-a,W-b(n) := Sigma(al+bm=n) (sigma(l)sigma(m)) of the divisor function sigma(n) := Sigma(d vertical bar n) d have been obtained since Royer obtained by the theory of quasimodular forms. We also present new identities for ab = 17, 29, 41, 47, 59 and 71 by using quasimodular forms.
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Related Researcher
- Cho, Bum Kyu
- College of Natural Science (Department of Mathematics)