Growth of sumsets in Abelian semigroups

DOI10.1007/PL00006010zbMath0959.20055arXivmath/0002091OpenAlexW2030463934MaRDI QIDQ1576306

Melvyn B. Nathanson

Publication date: 30 January 2001

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0002091

zbMATH Keywords

Hilbert seriessumsetsgrowth functionsAbelian semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Related Items (8)

Generalizations of Khovanskiĭ's theorem on growth of sumsets in abelian semigroups ⋮ 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 ⋮ Polynomial growth of sumsets in abelian semigroups ⋮ Iterated sumsets and Hilbert functions ⋮ Sums of Finite Sets of Integers, II ⋮ Additive Number Theory and Linear Semigroups with Intermediate Growth

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