Test sets for polynomials: \(n\)-universal subsets and Newton sequences

DOI10.1016/j.jalgebra.2018.01.020zbMath1390.13060OpenAlexW2794025910MaRDI QIDQ1706246

Paul-Jean Cahen, Jean-Luc Chabert

Publication date: 21 March 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.01.020

zbMATH Keywords

Dedekind domainsinteger-valued polynomialsNewton sequencesBhargava's factorial ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Paul-Jean Cahen (1946–2019), Simultaneous p-Orderings and Equidistribution, A survey on fixed divisors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Newtonian and Schinzel quadratic fields
• Factorial preservation
• Simultaneous \(p\)-orderings and minimizing volumes in number fields
• On the interpolation of integer-valued polynomials
• Sets that determine integer-valued polynomials
• Polynomials which take Gaussian integer values at Gaussian integers
• Pseudo-valuation domains
• Integer valued polynomials over a number field
• \(P\)-orderings: A metric viewpoint and the non-existence of simultaneous orderings.
• Regular subsets of valued fields and Bhargava's \(v\)-orderings
• The Factorial Function and Generalizations
• Integer-Valued Polynomials
• Anneaux de Bhargava
• Une Caractérisation des Polynômes Prenant des Valeurs Entières Sur Tous les Nombres Premiers
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• What You Should Know About Integer-Valued Polynomials
• About Polynomials Whose Divided Differences are Integer-Valued on Prime Numbers
• p -adic subsets whose factorials satisfy a generalized Legendre formula