@article{tjant2020824,
author={{Amri, Myriam and Mbarki, Khadija},
title={Mean Values of Arithmetic Functions under Congruences with the Euler Function},
journal={Turkish Journal of Analysis and Number Theory},
volume={8},
number={2},
pages={39--48},
year={2020},
url={http://pubs.sciepub.com/tjant/8/2/4},
issn={2333-1232},
abstract={We examine the average order of some arithmetic functions written as sums over Euler function in arithmetic progression and in general over <img src=image/abs1.png></img> such that <img src=image/abs2.png></img> is a prime number, <img src=image/abs3.png></img> an integer and <img src=image/abs4.png></img> is a polynomial function with integer coefficients and a degree <img src=image/abs5.png></img> that is not constant modulo <img src=image/abs6.png></img> 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.},
doi={10.12691/tjant-8-2-4}
publisher={Science and Education Publishing}
}