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arXiv · 1906.03477

On a theorem of Sárközy for difference sets and shifted primes

Ruoyi Wang
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Abstract

We show that if the difference of two elements of a set $A \subseteq [N]$ is never one less than a prime number, then $|A| = O (N \exp (-c (\log N)^{1/3}))$ for some absolute constant $c>0$.

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Ruoyi Wang. 2020-03-04. On a theorem of Sárközy for difference sets and shifted primes. https://doi.org/10.1016/j.jnt.2019.10.009

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