Inverse Conjecture for the Gowers norm is false

DOI10.4086/toc.2011.v007a009zbMath1282.11009arXiv0711.3388OpenAlexW2611472186MaRDI QIDQ2913795

Alex Samorodnitsky, Shachar Lovett, Roy Meshulam

Publication date: 27 September 2012

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

Full work available at URL: https://arxiv.org/abs/0711.3388

zbMATH Keywords

additive combinatoricsGowers norminverse Gowers conjecture

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Non-classical polynomials and the inverse theorem ⋮ An inverse theorem for the uniformity seminorms associated with the action of \(\mathbb F_p^\infty\) ⋮ On the Gowers norms of certain functions ⋮ Properties of high rank subvarieties of affine spaces ⋮ Finite field models in arithmetic combinatorics -- ten years on ⋮ Energies and structure of additive sets

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