Super-additive sequences and algebras of polynomials

DOI10.1090/S0002-9939-2011-10785-8zbMath1234.13017OpenAlexW2097531062MaRDI QIDQ3093430

Keith Johnson

Publication date: 17 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10785-8

zbMATH Keywords

valuation domaindiscrete valuationsub-additive sequencesuper-additive sequence

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (3)

Integer-Valued Polynomials: Looking for Regular Bases (A Survey) ⋮ Duality for asymptotic invariants of graded families ⋮ Minimal Generating Sets for the D-Algebra Int(S, D)

Cites Work

• Finite generation properties for various rings of integer-valued polynomials
• Subadditive functions and their (pseudo-)inverses
• \(P\)-orderings of finite subsets of Dedekind domains
• Limits of characteristic sequences of integer-valued polynomials on homogeneous sets
• Asymptotic behavior of characteristic sequences of integer-valued polynomials
• The Factorial Function and Generalizations
• Integer-Valued Polynomials
• On 𝑃-orderings, rings of integer-valued polynomials, and ultrametric analysis
• Self-maps of BU
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.

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