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arXiv · 2105.12854

Joint distribution in residue classes of polynomial-like multiplicative functions

Paul Pollack·Akash Singha Roy
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Abstract

Under fairly general conditions, we show that families of integer-valued polynomial-like multiplicative functions are uniformly distributed in coprime residue classes mod $p$, 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.

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Paul Pollack, Akash Singha Roy. 2021-05-26. Joint distribution in residue classes of polynomial-like multiplicative functions. https://arxiv.org/abs/2105.12854

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