A robust version of Freiman's 3k–4 Theorem and applications

DOI10.1017/S0305004118000129zbMath1473.11025arXiv1711.11060MaRDI QIDQ5742488

Wenqiang Xu, Xuancheng Shao

Publication date: 14 May 2019

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

Full work available at URL: https://arxiv.org/abs/1711.11060

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Abelian groups (20K99) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (6)

A Kneser-Type Theorem for Restricted Sumsets ⋮ Semicontinuity of structure for small sumsets in compact abelian groups ⋮ On an almost all version of the Balog-Szemeredi-Gowers theorem ⋮ A Freiman-type Theorem for restricted sumsets ⋮ An inverse theorem for an inequality of Kneser ⋮ The Typical Approximate Structure of Sets with Bounded Sumset

Cites Work

• Near equality in the Riesz-Sobolev inequality
• Real zeros of holomorphic Hecke cusp forms and sieving short intervals
• A structure theorem for sets of small popular doubling
• On addition of two distinct sets of integers
• Young’s Inequality Sharpened
• Carries, Group Theory, and Additive Combinatorics
• AN -FUNCTION-FREE PROOF OF VINOGRADOV’S THREE PRIMES THEOREM
• Restricted set addition in groups. III: Integer sumsets with generic restrictions
• Sum-free sets in Abelian groups.

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