On product of difference sets for sets of positive density

DOI10.1090/PROC/14078zbMath1388.37013arXiv1702.02544OpenAlexW2586852517MaRDI QIDQ4563658

Alexander Fish

Publication date: 4 June 2018

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

Full work available at URL: https://arxiv.org/abs/1702.02544

zbMATH Keywords

difference setsum-product estimate

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (1)

Product of difference sets of the set of primes

Cites Work

• Unnamed Item
• New results on sums and products in \(\mathbb{R}\)
• Bounding multiplicative energy by the sumset
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Twisted patterns in large subsets of \(\mathbb{Z}^N\)
• Characteristic polynomial patterns in difference sets of matrices
• On sets of integers containing k elements in arithmetic progression
• Sum-product Estimates in Finite Fields via Kloosterman Sums

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