On the Pythagoras number of the simplest cubic fields

DOI10.4064/aa221003-27-6arXiv2101.11384MaRDI QIDQ6091289

Magdaléna Tinková

Publication date: 24 November 2023

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11384

zbMATH Keywords

Pythagoras numbersimplest cubic fieldsindecomposable integers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Cubic and quartic extensions (11R16) Totally real fields (11R80)

Cites Work

• Simplest cubic fields
• A cubic ring of integers with the smallest Pythagoras number
• Pythagoras numbers of orders in biquadratic fields
• Lifting problem for universal quadratic forms
• Sums of \(m\)th powers of algebraic integers
• A Device for Generating Fields of Even Class Number
• On the Pythagoras number of orders in totally real number fields.
• The Pythagoras number of some affine algebras and local algebras.
• The Simplest Cubic Fields
• Quadratische Formen über Zahlringen
• Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields
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