Sum of squares in imaginary quadratic fields

DOI10.1007/BF01680024zbMath0547.10019OpenAlexW4255969504MaRDI QIDQ798694

Oleg M. Fomenko

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01680024

zbMATH Keywords

quadratic formsimaginary quadratic fieldsremainder termsums of three squaresEstermann's methodrepresentation of algebraic integers

Mathematics Subject Classification ID

Quadratic extensions (11R11) Waring's problem and variants (11P05) Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12) Representation problems (11D85)

Cites Work

• Exceptional integers of some ternary quadratic forms
• An Additive Divisor Problem
• On a theorem of Heilbronn
• An Asymptotic Formula in the Theory of Numbers
• Summen von Quadranten in Zahlringen.
• Sums of Four Squares in a Quadratic Ring
• Representation by Quadratic Forms
• Quaternions and Sums of Three Squares
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