The Furstenberg-Sárközy theorem and asymptotic total ergodicity phenomena in modular rings

DOI10.1016/j.jnt.2022.05.010OpenAlexW3107723504WikidataQ113870296 ScholiaQ113870296MaRDI QIDQ2109419

Andrew Best, Vitaly Bergelson

Publication date: 21 December 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14531

zbMATH Keywords

sumsetsresidue class ringsdifferencingexponential sums on rings

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Ramsey theory (05D10) Additive bases, including sumsets (11B13)

Cites Work

• Equations over finite fields. An elementary approach
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Van der Corput's difference theorem
• Polynomial Szemerédi theorems for countable modules over integral domains and finite fields
• Sums of Powers in Large Finite Fields: A Mix of Methods
• Sums of Powers in Large Finite Fields
• Waring's Problem \opertornameMod n
• On difference sets of sequences of integers. I
• On difference sets of sequences of integers. III
• Solution of Waring's Problem \opertornameMod n
• A Sárközy Theorem for Finite Fields
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