Evaluation of a certain combinatorial convolution sum in higher level cases

Bumkyu Cho, Daeyeoul Kim, Ho Park

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

It is known that certain combinatorial convolution sums involving divisor functions of "levels" 1 and 2 can be explicitly expressed as a linear combination of divisor functions. In this article we deal with a case for arbitrary level and obtain an explicit expression.

Original languageEnglish
Pages (from-to)203-210
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume406
Issue number1
DOIs
StatePublished - 1 Oct 2013

Keywords

  • Combinatorial convolution sums
  • Convolution sums
  • Divisor functions
  • Eisenstein series

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