Sums of three integral squares in biquadratic fields

DOI10.1016/j.jnt.2013.11.013zbMath1294.11044OpenAlexW1967817170MaRDI QIDQ2017176

Bin Zhang, Chun-Gang Ji

Publication date: 25 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.11.013

zbMATH Keywords

Pell equationsum of squaresring of integersbiquadratic number fieldstufe

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Cubic and quartic extensions (11R16) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Cites Work

• Sums of \(m\)th powers of algebraic integers
• Sums of Three Integer Squares in Complex Quadratic Fields
• Sums of three squares over imaginary quadratic fields
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
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