Mean Values of Arithmetic Functions under Congruences with the Euler Function.
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In: Turkish Journal of Analysis and Number Theory, Vol. 8.2020, No. 2, 13.07.2020, p. 39-48.
Research output: Contribution to journal › Article › Research › peer-review
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TY - JOUR
T1 - Mean Values of Arithmetic Functions under Congruences with the Euler Function.
AU - Amri, Myriam
AU - Mbarki, Khadija
PY - 2020/7/13
Y1 - 2020/7/13
N2 - We consider examining the average order of some arithmetic functions written as sums over divisors d of n satisfying ϕ(d) ≡ a mod p andf(ϕ(d)) ≡ a mod p such that p is a prime number that is coprime with theinteger a and f is a polynomial function with integer coefficients and a degreed ≥ 2 that is not constant modulo p.
AB - We consider examining the average order of some arithmetic functions written as sums over divisors d of n satisfying ϕ(d) ≡ a mod p andf(ϕ(d)) ≡ a mod p such that p is a prime number that is coprime with theinteger a and f is a polynomial function with integer coefficients and a degreed ≥ 2 that is not constant modulo p.
KW - 11A63, 11L03, 11N05.
U2 - 10.12691/tjant-8-2-4
DO - 10.12691/tjant-8-2-4
M3 - Article
VL - 8.2020
SP - 39
EP - 48
JO - Turkish Journal of Analysis and Number Theory
JF - Turkish Journal of Analysis and Number Theory
IS - 2
ER -
