Joint distribution in residue classes of polynomial-like multiplicative functions
Number Theory
2021-07-27 v2
Abstract
Under fairly general conditions, we show that families of integer-valued polynomial-like multiplicative functions are uniformly distributed in coprime residue classes mod , where is a growing prime (or nearly prime) modulus. This can be seen as complementary to work of Narkiewicz, who obtained comprehensive results for fixed moduli.
Keywords
Cite
@article{arxiv.2105.12854,
title = {Joint distribution in residue classes of polynomial-like multiplicative functions},
author = {Paul Pollack and Akash Singha Roy},
journal= {arXiv preprint arXiv:2105.12854},
year = {2021}
}
Comments
13 pages; corrected an error in part (b) of the Remark following Lemma 2.2