Some diophantine systems

DOI10.1007/BF01670581zbMath0538.10018OpenAlexW1991821291MaRDI QIDQ793080

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/bf01670581

zbMATH Keywords

binary quadratic formsasymptotic formulahyperbolic geometryrepresentation of integersquadratic diophantine equationssums of three squaresimaginary quadratic number fieldsums of four squares

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Quadratic forms over global rings and fields (11E12) Lattice points in specified regions (11P21) Representation problems (11D85)

Cites Work

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• Über die Klassenanzahl positiver binärer quadratischer Formen
• Ein Gitterpunktproblem im dreidimensionalen hyperbolischen Raum
• Eine Beziehung zwischen der hyperbolischen Geometrie und der Zahlentheorie
• An Asymptotic Formula in the Theory of Numbers
• An Asymptotic Formula in the Theory of Numbers
• Über die Darstellungen einer Zahl als Differenz von zwei Produkten.
• Summen von Quadranten in Zahlringen.
• Four Asymptotic Formulae in the Theory of Numbers
• Representation by Quadratic Forms
• Quaternions and Sums of Three Squares

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