A new proof of Sárközy’s theorem

DOI10.1090/S0002-9939-2013-11628-XzbMath1276.11017arXiv1107.0243OpenAlexW2964304010MaRDI QIDQ2839296

Neil Lyall

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0243

zbMATH Keywords

difference setsSárközy's theorem

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Density, gaps, topology (11B05) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

Multivariate Polynomial Values in Difference Sets ⋮ Threshold functions and Poisson convergence for systems of equations in random sets ⋮ A maximal extension of the best-known bounds for the Furstenberg–Sárközy theorem ⋮ Binary Quadratic Forms in Difference Sets ⋮ An improved lower bound related to the Furstenberg-Sárközy theorem ⋮ A new proof of Sárközy’s theorem ⋮ Problems and Results on Intersective Sets

Cites Work

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• On Sets of Natural Numbers Whose Difference Set Contains No Squares
• On difference sets of sequences of integers. III
• Improved Bounds on Sárközy’s Theorem for Quadratic Polynomials

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