On two functions arising in the study of the Euler and Carmichael quotients

Florian Luca, Min Sha, Igor E. Shparlinski

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We investigate two arithmetic functions naturally occurring in the study of the Euler and Carmichael quotients. The functions are related to the frequency of vanishing of the Euler and Carmichael quotients. We obtain several results concerning the relations between these functions as well as their typical and extreme values.
Original languageEnglish
Pages (from-to)179-192
Number of pages14
JournalColloquium Mathematicum
Volume149
Issue number2
DOIs
Publication statusPublished - 2017
Externally publishedYes

Keywords

  • Carmichael function
  • Carmichael quotient
  • Euler function
  • Euler quotient
  • greatest common divisor

Fingerprint Dive into the research topics of 'On two functions arising in the study of the Euler and Carmichael quotients'. Together they form a unique fingerprint.

Cite this