About the embedding of a number field in a Pólya field

DOI10.1016/j.jnt.2014.05.002zbMath1332.11099OpenAlexW2029225521MaRDI QIDQ741679

Amandine Leriche

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.05.002

zbMATH Keywords

Hilbert class fieldgenus fieldinteger-valued polynomialsPólya field

Mathematics Subject Classification ID

Galois theory (11R32) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Class field theory (11R37)

Related Items

What You Should Know About Integer-Valued Polynomials ⋮ Integer-Valued Polynomials: Looking for Regular Bases (A Survey) ⋮ Ostrowski quotients for finite extensions of number fields ⋮ From Pólya fields to Pólya groups (II) non-Galois number 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

• Pólya fields, Pólya groups and Pólya extensions: a question of capitulation
• Pólya and Newtonian function fields
• Principal ideal theorems in the genus field for absolutely abelian extensions
• The genus fields of algebraic number fields
• The 2-class group of biquadratic fields. II
• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• Integer-Valued Polynomials
• Advanced Topics in Computional Number Theory
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