Joint distribution in residue classes of polynomial-like multiplicative\n functions

2021/05/26 by Paul Pollack, Pollack, Paul, Akash Singha Roy +1
Computer Science · Mathematics · #11N64 #Advanced Topology and Set Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Primary 11A25 #Secondary 11N36

paper · pdf · doi:10.48550/arxiv.2105.12854

openalex publication_date 2021/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Under fairly general conditions, we show that families of integer-valued\npolynomial-like multiplicative functions are uniformly distributed in coprime\nresidue classes mod p, where p is a growing prime (or nearly prime)\nmodulus. This can be seen as complementary to work of Narkiewicz, who obtained\ncomprehensive results for fixed moduli.\n

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