Polynomial growth of sumsets in abelian semigroups

DOI10.5802/jtnb.374zbMath1077.11014arXivmath/0204052OpenAlexW2964254258MaRDI QIDQ558129

Melvyn B. Nathanson, Imre Z. Ruzsa

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204052

Mathematics Subject Classification ID

Commutative semigroups (20M14) Other combinatorial number theory (11B75) Density, gaps, topology (11B05)

Related Items (9)

Sumsets and projective curves ⋮ Generalizations of Khovanskiĭ's theorem on growth of sumsets in abelian semigroups ⋮ Sumsets and Veronese varieties ⋮ Khovanskii's theorem and effective results on sumset structure ⋮ The Frobenius postage stamp problem, and beyond ⋮ Generalizations of Khovanskiĭ's theorems on the growth of sumsets in abelian semigroups ⋮ John-type theorems for generalized arithmetic progressions and iterated sumsets ⋮ Sums of Finite Sets of Integers, II ⋮ Additive Number Theory and Linear Semigroups with Intermediate Growth

Cites Work

• Unnamed Item
• Linear forms in finite sets of integers
• Newton polyhedron, Hilbert polynomial, and sums of finite sets
• Growth of sumsets in Abelian semigroups
• Sums of finite sets, orbits of commutative semigroups, and Hilbert functions
• Sums of Finite Sets of Integers

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