Convolution sums of a divisor function for prime levels

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Abstract

Recently, many identities for the convolution sum Wa,b(n):=Σa,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σd|nd 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.

Original languageEnglish
Pages (from-to)537-546
Number of pages10
JournalInternational Journal of Number Theory
Volume16
Issue number3
DOIs
StatePublished - 1 Apr 2020

Keywords

  • convolution sums
  • Divisor functions
  • quasimodular forms

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