Additive Volume of Sets Contained in Few Arithmetic Progressions

zbMath1476.11132arXiv1808.08455MaRDI QIDQ5383292

Oriol Serra, Gregory A. Freiman, Christoph Spiegel

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1808.08455

zbMATH Keywords

additive combinatoricsFreiman dimensioninverse sumset theorem

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Arithmetic progressions (11B25) Inverse problems of additive number theory, including sumsets (11P70)

Cites Work

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• Near optimal bounds in Freiman's theorem
• The structure of \(d\)-dimensional sets with small sumset
• On the simplest inverse problem for sums of sets in several dimensions
• Generalized arithmetical progressions and sumsets
• Inverse additive problems for Minkowski sumsets. I
• Freiman's inverse problem with small doubling property
• Detailed Structure for Freiman's 3k-3 Theorem
• Inverse Additive Number Theory. XI. Long arithmetic progressions in sets with small sumsets
• A generalization of Freiman's 3k-3 Theorem
• Combinatorics and linear algebra of Freiman's isomorphism
• On addition of two distinct sets of integers
• On addition of two distinct sets of integers

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