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New bounds for the Furstenberg-Sárközy theorem

Published 26 Nov 2024 in math.NT | (2411.17448v2)

Abstract: Suppose that $A \subset {1,\dots, N}$ has no two elements differing by a square. Then $|A| \ll N e{-c\sqrt{\log N}}$.

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Authors (2)

  1. Ben Green 
  2. Mehtaab Sawhney 

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