On Sárközy’s theorem for shifted primes

Green, Ben

doi:10.1090/jams/1036

On Sárközy’s theorem for shifted primes
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by Ben Green;

J. Amer. Math. Soc. 37 (2024), 1121-1201

DOI: https://doi.org/10.1090/jams/1036

Published electronically: September 28, 2023

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Abstract:

Suppose that $A \subset \{1,\dots , N\}$ has no two elements differing by $p-1$, $p$ prime. Then $|A| \ll N^{1 - c}$.

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