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

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Mean Values of Arithmetic Functions under Congruences with the Euler Function. / Amri, Myriam; Mbarki, Khadija.
In: Turkish Journal of Analysis and Number Theory, Vol. 8.2020, No. 2, 13.07.2020, p. 39-48.

Research output: Contribution to journalArticleResearchpeer-review

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@article{f79113320cad4ddd812ec2659e7a1691,
title = "Mean Values of Arithmetic Functions under Congruences with the Euler Function.",
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 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.",
keywords = "11A63, 11L03, 11N05.",
author = "Myriam Amri and Khadija Mbarki",
year = "2020",
month = jul,
day = "13",
doi = "10.12691/tjant-8-2-4",
language = "English",
volume = "8.2020",
pages = "39--48",
journal = "Turkish Journal of Analysis and Number Theory",
number = "2",

}

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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 -