Some questions on biquadratic Pólya fields

DOI10.1016/J.JNT.2020.10.012zbMath1470.11270OpenAlexW3119121084WikidataQ114157157 ScholiaQ114157157MaRDI QIDQ1981606

Charles Wend-Waoga Tougma

Publication date: 6 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.10.012

zbMATH Keywords

binary quadratic formsprincipal idealsregular basisnorm equations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Other abelian and metabelian extensions (11R20)

Cites Work

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• Pólya fields, Pólya groups and Pólya extensions: a question of capitulation
• Pólya groups of the imaginary bicyclic biquadratic number fields
• Biquadratic Pólya fields with only one quadratic Pólya subfield
• Units over totally real \(C_2\times C_2\) fields
• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• Some non-Pólya biquadratic fields with low ramification
• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• Über die Lösbarkeit der Gleichung \(t^2-Du^2=-4\)
• Integer-Valued Polynomials
• On the Pólya Group of Some Imaginary Biquadratic Fields

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