Sums of distinct integral squares in real quadratic fields

DOI10.1016/j.crma.2011.03.019zbMath1230.11046OpenAlexW2077710279MaRDI QIDQ544893

Poo-Sung Park, Byeong Moon Kim

Publication date: 16 June 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.03.019

zbMATH Keywords

sums of squaresbinary quadratic formsreal quadratic fieldsintegral squares

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 (3)

The sum of four squares over real quadratic number fields ⋮ Sums of nonvanishing integral squares in real quadratic fields ⋮ Pythagoras numbers of orders in biquadratic fields

Cites Work

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• Sums of distinct integral squares in \(\mathbb Q(\sqrt 5)\)
• Über Zerlegungen in ungleiche Quadratzahlen
• Calculation of Class Numbers by Decomposition into Three Integral Squares in the Fields of 2 ½ and 3 ½
• Sums of Four Squares in a Quadratic Ring

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