Improved Bounds on Sárközy’s Theorem for Quadratic Polynomials

DOI10.1093/imrn/rns106zbMath1337.11006arXiv1111.5786OpenAlexW2962854175MaRDI QIDQ5250684

Mariah Hamel, Alex Rice, Neil Lyall

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5786

zbMATH Keywords

exponential sumpositive upper densitySárközy's theorem

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Polynomial configurations in subsets of random and pseudo-random sets ⋮ The Pintz–Steiger–Szemerédi estimate for intersective quadratic polynomials in function fields ⋮ Multivariate Polynomial Values in Difference Sets ⋮ A maximal extension of the best-known bounds for the Furstenberg–Sárközy theorem ⋮ Binary Quadratic Forms in Difference Sets ⋮ A new proof of Sárközy’s theorem

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