On the polynomial Szemerédi theorem in finite fields

DOI10.1215/00127094-2018-0051zbMath1473.11032arXiv1802.02200OpenAlexW3103184556MaRDI QIDQ2631559

Sarah Peluse

Publication date: 15 May 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02200

zbMATH Keywords

finite fieldsSzemerédi's theorem

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (11)

On several notions of complexity of polynomial progressions ⋮ Polynomial ergodic averages for certain countable ring actions ⋮ Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials ⋮ A POLYNOMIAL ROTH THEOREM FOR CORNERS IN FINITE FIELDS ⋮ Joint ergodicity of sequences ⋮ Bounds for sets with no polynomial progressions ⋮ Distribution properties for \(t\)-hooks in partitions ⋮ True complexity of polynomial progressions in finite fields ⋮ A Hörmander type theorem in finite fields ⋮ Further bounds in the polynomial Szemer ⋮ Joint ergodicity of fractional powers of primes

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