On the parity of the number of small divisors of n

Kevin Ford, Florian Luca, Carl Pomerance, Jeffrey Shallit

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

For a positive integer j we look at the parity of the number of divisors of n that are at most j, proving that for large j, the count is even for most values of n.

Original languageEnglish (US)
Title of host publicationAnalytic Number Theory
Subtitle of host publicationIn Honor of Helmut Maier's 60th Birthday
PublisherSpringer
Pages93-100
Number of pages8
ISBN (Electronic)9783319222400
ISBN (Print)9783319222394
DOIs
StatePublished - Jan 1 2015

Keywords

  • Number of divisors

ASJC Scopus subject areas

  • Mathematics(all)
  • Computer Science(all)

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