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

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External Organisational units

  • Faculty of Sciences of Monastir


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.


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