Convolution sums of restricted divisor functions derived from Dirichlet convolution

  • Su Yeon Kong
  • , Yan Li
  • , Daeyeoul Kim*
  • *Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

Abstract

In this article, the convolution sums of six restricted divisor functions considered by Glaisher are studied. Using the properties of Dirichlet convolution, we try to find the inverse functions of four restricted divisor functions and use these to find the formulae for the convolution sums under the given relatively primeness conditions.

Original languageEnglish
Pages (from-to)281-303
Number of pages23
JournalPublicationes Mathematicae Debrecen
Volume105
Issue number3-4
DOIs
StatePublished - 2024

Keywords

  • convolution sums
  • Dirichlet convolution
  • restricted divisor functions

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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