Mean Values of Arithmetic Functions under Congruences with the Euler Function.

Research output: Contribution to journalArticleResearchpeer-review

Authors

External Organisational units

  • Faculty of Sciences of Monastir

Abstract

We consider examining the average order of some arithmetic functions written as sums over divisors d of n satisfying ϕ(d) ≡ a mod p and
f(ϕ(d)) ≡ a mod p such that p is a prime number that is coprime with the
integer a and f is a polynomial function with integer coefficients and a degree
d ≥ 2 that is not constant modulo p.

Details

Original languageEnglish
Pages (from-to)39-48
Number of pages10
JournalTurkish Journal of Analysis and Number Theory
Volume8.2020
Issue number2
DOIs
Publication statusPublished - 13 Jul 2020