New parametrization of $A^2+B^2+C^2=3D^2$ and Lagrange's four-square theorem

zbMath1389.52016arXiv1411.6306MaRDI QIDQ4602693

Eugen J. Ionascu

Publication date: 31 January 2018

Full work available at URL: https://arxiv.org/abs/1411.6306

zbMATH Keywords

quadratic formsequilateral trianglesEisenstein integersLagrange's four square theoremquaternion integerssystem of Diophantine equation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Quadratic and bilinear Diophantine equations (11D09)

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