Additive Number Theory and Linear Semigroups with Intermediate Growth

DOI10.1007/978-1-4939-1601-6_13zbMath1328.20073OpenAlexW2114795292MaRDI QIDQ5265397

Melvyn B. Nathanson

Publication date: 23 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1601-6_13

zbMATH Keywords

intermediate growthSidon setssumsetsgrowth functionsfinitely generated semigroupspartition asymptoticssemigroup growth

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Other combinatorial number theory (11B75) Asymptotic properties of groups (20F69)

Cites Work

• Unnamed Item
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• 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
• A note on curvature and fundamental group
• Number Theory and Semigroups of Intermediate Growth
• A new proof of Gromov’s theorem on groups of polynomial growth
• ON SOME SEMIGROUPS OF INTERMEDIATE GROWTH
• Elementary Methods in Number Theory
• Partitions with parts in a finite set

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