On an arithmetical function

Hershel M. Farkas*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In this paper we introduce an arithmetical function δ(n) the difference between the number of divisors of n congruent to 1 mod 3 and those congruent to -1 mod 3. This function then is related to the classical function σ(n) which is the sum of the divisors of n. In particular we prove the identity 3(∑n=0δ(3n+1)xn) 2 = ∑n=0σ(3n+2)xn.

Original languageEnglish
Pages (from-to)309-315
Number of pages7
JournalRamanujan Journal
Volume8
Issue number3
DOIs
StatePublished - Sep 2004

Keywords

  • Divisor functions
  • Theta functions

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