On square values of the product of the euler totient and sum of divisors functions

Kevin Broughan, Florian Luca, Kevin Ford

Research output: Contribution to journalArticlepeer-review

Abstract

If n is a positive integer such that Φ(n)σ(n) = m2 for some positive integer m, then m≤n. We put m = n - a and we study the positive integers a arising in this way.

Original languageEnglish (US)
Pages (from-to)127-137
Number of pages11
JournalColloquium Mathematicum
Volume130
Issue number1
DOIs
StatePublished - Dec 1 2012

Keywords

  • Euler function
  • Sum of divisors

ASJC Scopus subject areas

  • Mathematics(all)

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