Non-classical polynomials and the inverse theorem

DOI10.1017/S0305004121000682zbMath1498.11038arXiv2107.07495OpenAlexW4205846148MaRDI QIDQ5043348

Jonathan Tidor, Aaron Berger, Ashwin Sah, Mehtaab Sawhney

Publication date: 21 October 2022

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

Full work available at URL: https://arxiv.org/abs/2107.07495

zbMATH Keywords

non-classical polynomialsGowers \(U^k\)-norm

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (1)

On higher-order Fourier analysis in characteristic p

Cites Work

• Unnamed Item
• The inverse conjecture for the Gowers norm over finite fields in low characteristic
• The inverse conjecture for the Gowers norm over finite fields via the correspondence principle
• An inverse theorem for the uniformity seminorms associated with the action of \(\mathbb F_p^\infty\)
• Inverse Conjecture for the Gowers norm is false
• The distribution of polynomials over finite fields, with applications to the Gowers norms

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