Pólya fields and Pólya numbers

DOI10.5802/acirm.29zbMath1474.11184OpenAlexW2313443410MaRDI QIDQ4682427

Amandine Leriche

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/acirm.29

zbMATH Keywords

Hilbert class fieldgenus fieldinteger-valued polynomialsPólya fields

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Class field theory (11R37) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

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Cites Work

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• Pólya fields, Pólya groups and Pólya extensions: a question of capitulation
• Principal ideal theorems in the genus field for absolutely abelian extensions
• Integer valued polynomials over a number field
• Integer-Valued Polynomials
• Integers of Biquadratic Fields