Friable averages of oscillating multiplicative functions
Number Theory
2024-07-23 v9 Classical Analysis and ODEs
Abstract
We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some negative power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. An application is given to summing truncated versions of such functions.
Cite
@article{arxiv.2207.04777,
title = {Friable averages of oscillating multiplicative functions},
author = {Régis de la Bretèche and Gérald Tenenbaum},
journal= {arXiv preprint arXiv:2207.04777},
year = {2024}
}