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

Authors

  • Kam Hung Yau University of New South Wales

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.

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

2020-11-14

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Section

Articles