Cubic, quartic and sextic Pólya fields

DOI10.1016/j.jnt.2012.06.016zbMath1296.11136OpenAlexW1993188839MaRDI QIDQ1762290

Amandine Leriche

Publication date: 23 November 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.06.016

zbMATH Keywords

cubic fieldsinteger-valued polynomialsquartic fieldsPólya fieldssextic fields

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Other abelian and metabelian extensions (11R20)

Related Items (17)

Totally real bi-quadratic fields with large Pólya groups ⋮ What You Should Know About Integer-Valued Polynomials ⋮ Integer-Valued Polynomials: Looking for Regular Bases (A Survey) ⋮ Non-Pólya bi-quadratic fields with an Euclidean ideal class ⋮ Calculating the density of solutions of equations related to the Pólya–Ostrowski group through Markov chains ⋮ Some questions on biquadratic Pólya fields ⋮ Pólya groups of the imaginary bicyclic biquadratic number fields ⋮ PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS ⋮ Pólya group in some real biquadratic fields ⋮ Existence of relative integral basis over quadratic fields and Pólya property ⋮ Biquadratic Pólya fields with only one quadratic Pólya subfield ⋮ About the embedding of a number field in a Pólya field ⋮ PólyaS₃-extensions of ℚ ⋮ Differential principal factors and Pólya property of pure metacyclic fields ⋮ From Pólya fields to Pólya groups. I: Galois extensions ⋮ A survey on fixed divisors ⋮ Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pólya fields, Pólya groups and Pólya extensions: a question of capitulation
• Integer valued polynomials over a number field
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• Integer-Valued Polynomials
• Units with norm - 1 and signatures of units.
• The conductor of a cyclic quartic field using Gauss sums
• The imaginary bicyclic biquadratic fields with class-number 1.
• Advanced Topics in Computional Number Theory
• Class Number and Ramification in Number Fields
• Integers of Biquadratic Fields

This page was built for publication: Cubic, quartic and sextic Pólya fields