Large sets with small doubling modulo \(p\) are well covered by an arithmetic progression

DOI10.5802/aif.2482zbMath1247.11130arXiv0804.0935OpenAlexW1507520630MaRDI QIDQ1041272

Gilles Zémor, Oriol Serra

Publication date: 2 December 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0935

zbMATH Keywords

arithmetic progressionsumsetadditive combinatorics

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (8)

Semicontinuity of structure for small sumsets in compact abelian groups ⋮ A Freiman's 2.4 theorem-type result for different subsets ⋮ An inverse theorem for an inequality of Kneser ⋮ Towards \(3n-4\) in groups of prime order ⋮ Small sum sets, subcriticality structure ⋮ A step beyond Freiman's theorem for set addition modulo a prime ⋮ Cyclically covering subspaces in \(\mathbb{F}_2^n\) ⋮ On sets with small sumset and m-sum-free sets in Z/pZ

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• SETS WITH SMALL SUMSET AND RECTIFICATION
• An inverse theorem mod p
• Some results in additive number theory I: The critical pair theory
• On addition of two distinct sets of integers
• On the critical pair theory in Z/pZ

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