Sums of squares in \(S\)-integers

zbMath1460.11043arXiv2005.06566MaRDI QIDQ2006021

Vítězslav Kala, Pavlo Yatsyna

Publication date: 8 October 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06566

zbMATH Keywords

Pythagoras numbertotally realnumber fieldsum of squares\(S\)-integers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12)

Related Items (2)

Pythagoras numbers of orders in biquadratic fields ⋮ Representing multiples of \(m\) in real quadratic fields as sums of squares

Cites Work

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• Sums of \(m\)th powers of algebraic integers
• Sums of squares in rings of integers with 2 inverted
• UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS
• On the Pythagoras number of orders in totally real number fields.
• Representations of positive definite quadratic forms.
• Number fields without n-ary universal quadratic forms

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