Joint distribution in residue classes of polynomial-like multiplicative functions
Volume 202 / 2022
Acta Arithmetica 202 (2022), 89-104
MSC: Primary 11A25; Secondary 11N36, 11N64.
DOI: 10.4064/aa210621-8-9
Published online: 15 November 2021
Abstract
Under fairly general conditions, we show that families of integer-valued polynomial-like multiplicative functions are uniformly distributed in coprime residue classes modulo $p$, where $p$ 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.
