eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2020-07-13
8
2
39
48
10.12691/tjant-8-2-4
TJANT2020824
article
Mean Values of Arithmetic Functions under Congruences with the Euler Function
Myriam Amri
myriam.amri@unileoben.ac.at
1
Khadija Mbarki
2
Montanuniversit?t Leoben Department Mathematik und Informationstechnologie, Austria
Department of Mathematics, Faculty of Sciences of Monastir, Tunisia
We examine the average order of some arithmetic functions written as sums over Euler function in arithmetic progression and in general over such that is a prime number, an integer and is a polynomial function with integer coefficients and a degree that is not constant modulo Our results are based on various estimates of rational exponential sums with the Euler Function in arithmetic progression which are due to William Banks and Igor E. Shparlinski.
http://pubs.sciepub.com/tjant/8/2/4/tjant-8-2-4.pdf
arithmetic functions
exponential sums