PólyaS3-extensions of ℚ

DOI10.1017/prm.2018.86zbMath1447.11110OpenAlexW2906792875MaRDI QIDQ5213157

Abbas Maarefparvar, Ali Rajaei

Publication date: 31 January 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.86

zbMATH Keywords

regular basisinteger valued polynomialsring of algebraic integersPolya fields

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Ramification and extension theory (11S15) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (3)

Ostrowski quotients for finite extensions of number fields ⋮ Pre-Pólya group in even dihedral extensions of ℚ ⋮ Existence of relative integral basis over quadratic fields and Pólya property

Cites Work

• Biquadratic Pólya fields with only one quadratic Pólya subfield
• Some non-Pólya biquadratic fields with low ramification
• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• Pure cubic fields whose class numbers are multiples of three
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
• Class field theory
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