On products of primes and square-free integers in arithmetic progressions
Number Theory
2020-01-22 v2
Abstract
We obtain an asymptotic formula for the number of ways to represent every reduced residue class as a product of a prime and square-free integer. This may be considered as a relaxed version of a conjecture of Erd\"os, Odlyzko, and S\'ark\"ozy.
Keywords
Cite
@article{arxiv.1907.06016,
title = {On products of primes and square-free integers in arithmetic progressions},
author = {Kam Hung Yau},
journal= {arXiv preprint arXiv:1907.06016},
year = {2020}
}