A geometric representation of integral solutions of x2 + xy + y2 = m2

DOI10.2989/16073606.2019.1578294zbMath1481.11028OpenAlexW2920182835MaRDI QIDQ5222244

Lorenz Halbeisen, Norbert Hungerbühler

Publication date: 1 April 2020

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1578294

zbMATH Keywords

quadratic Diophantine equationsquadratic formsplane integral point sets

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Erd?s problems and related topics of discrete geometry (52C10) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (1)

On primitive solutions of the Diophantine equation \(x^2 + y^2 = M\)

Cites Work

• There are integral heptagons, no three points on a line, no four on a circle
• On the number of points with pairwise integral distances on a circle
• An upper bound for the minimum diameter of integral point sets
• Rational values of the arccosine function
• On the minimum diameter of plane integral point sets
• Integral distances
• Unnamed Item
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