Pólya and Newtonian function fields

DOI10.1007/s00229-008-0173-zzbMath1141.11057OpenAlexW2058083004MaRDI QIDQ930583

David Adam

Publication date: 1 July 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0173-z

zbMATH Keywords

function fieldregular basisintegral polynomialPólya field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (9)

What You Should Know About Integer-Valued Polynomials ⋮ Integer-Valued Polynomials: Looking for Regular Bases (A Survey) ⋮ 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 ⋮ About the embedding of a number field in a Pólya field ⋮ About Number Fields with Pólya Group of Order $$\le $$ ≤ 2 ⋮ From Pólya fields to Pólya groups. I: Galois extensions ⋮ A survey on fixed divisors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simultaneous orderings in function fields
• Algebraic function fields and codes
• Integer valued polynomials over a number field
• \(P\)-orderings: A metric viewpoint and the non-existence of simultaneous orderings.
• The Factorial Function and Generalizations
• Integer-Valued Polynomials
• Unités de certains sous-anneaux des corps de fonctions algébriques
• Explicit Class Field Theory for Rational Function Fields
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• Répartition modulo 1 dans un corps de séries formelles sur un corps fini

This page was built for publication: Pólya and Newtonian function fields