On products of primes and square-free integers in arithmetic progressions

Kam Hung Yau

doi:10.53733/66

On products of primes and square-free integers in arithmetic progressions

Authors

Kam Hung Yau University of New South Wales

DOI:

https://doi.org/10.53733/66

Keywords:

Kloosterman sums, congruences

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.

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Author Biography

Kam Hung Yau, University of New South Wales

Department of Pure Mathematics
University of New South Wales
Sydney NSW 2052
Australia

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Published

14-11-2020

How to Cite

Yau, K. H. (2020). On products of primes and square-free integers in arithmetic progressions. New Zealand Journal of Mathematics, 50, 93–99. https://doi.org/10.53733/66