Newtonian and Schinzel sequences in a domain

DOI10.1016/j.jpaa.2009.03.004zbMath1170.13007OpenAlexW1965140997MaRDI QIDQ1030704

Paul-Jean Cahen

Publication date: 2 July 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.03.004

zbMATH Keywords

normDedekind domainSchinzel sequenceNewtonian sequence

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05)

Related Items (6)

Paul-Jean Cahen (1946–2019) ⋮ Newtonian and Schinzel quadratic fields ⋮ An overview of some recent developments on integer-valued polynomials: Answers and Questions ⋮ Newton and Schinzel sequences in quadratic fields ⋮ Simultaneous \(p\)-orderings and minimizing volumes in number fields ⋮ A survey on fixed divisors

Cites Work

• Simultaneous orderings in function fields
• Generalized factorials and fixed divisors over subsets of a Dedekind domain
• \(P\)-orderings: A metric viewpoint and the non-existence of simultaneous orderings.
• The Factorial Function and Generalizations
• Integer-Valued Polynomials
• Anneaux de Bhargava
• Remark on a problem of Schinzel
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• On sequences of algebraic integers in pure extensions of prime degree
• On Sequences of Algebraic Integers
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