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Number Theory and Semigroups of Intermediate Growth

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Publication:2757396
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DOI10.2307/2589496zbMath0990.20037OpenAlexW4231407740MaRDI QIDQ2757396

Melvyn B. Nathanson

Publication date: 26 November 2001

Full work available at URL: https://doi.org/10.2307/2589496


zbMATH Keywords

growth functionsfinitely generated semigroupsChebyshev theoremsemigroups of intermediate growthHardy-Ramanujan partition function


Mathematics Subject Classification ID

Combinatorics on words (68R15) Free semigroups, generators and relations, word problems (20M05) Analytic theory of partitions (11P82)


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ON SOME SEMIGROUPS OF INTERMEDIATE GROWTH ⋮ The smallest Mealy automaton of intermediate growth. ⋮ On the 3-state Mealy automata over an \(m\)-symbol alphabet of growth order \([n^{\log n/2\log m}\).] ⋮ Semigroups of matrices of intermediate growth. ⋮ Dynamical height growth: left, right, and total orbits ⋮ Additive Number Theory and Linear Semigroups with Intermediate Growth



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