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


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
Number of pages8
ISBN (Electronic)9783319222400
ISBN (Print)9783319222394
StatePublished - Jan 1 2015


  • Number of divisors

ASJC Scopus subject areas

  • General Mathematics
  • General Computer Science


Dive into the research topics of 'On the parity of the number of small divisors of n'. Together they form a unique fingerprint.

Cite this