Product of an integer free of small prime factors and prime in arithmetic progression

Kam Hung Yau

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arXiv · 1812.10214

Product of an integer free of small prime factors and prime in arithmetic progression

Kam Hung Yau

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Abstract

We establish estimates for the number of ways to represent any reduced residue class as a product of a prime and an integer free of small prime factors. Our best results is conditional on the Generalised Riemann hypothesis (GRH). As a corollary, we make progress on a conjecture of Erd\"os, Odlyzko and S\'ark\"ozy.

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Kam Hung Yau. 2018-12-26. Product of an integer free of small prime factors and prime in arithmetic progression. https://arxiv.org/abs/1812.10214

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