The lifting problem for universal quadratic forms over simplest cubic fields

DOI10.1017/S0004972723000953MaRDI QIDQ6666493

Magdaléna Tinková, Daniel Gil-Muñoz

Publication date: 20 January 2025

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

additively indecomposable integertotally real number fielduniversal quadratic form

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Totally real fields (11R80)

Cites Work

• Title not available (Why is that?)
• On the resolution of cusp singularities and the Shintani decomposition in totally real cubic number fields
• Simplest cubic fields
• The characterization of cyclic cubic fields with power integral bases
• Lifting problem for universal quadratic forms
• Über die Darstellung total positiver Zahlen des Körpers \(R(\sqrt{5})\) als Summe von drei Quadraten.
• Sums of \(m\)th powers of algebraic integers
• The Simplest Cubic Fields
• Representations of positive definite quadratic forms.
• 𝑝-integral bases of a cubic field
• Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields

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