Furthur developements regarding Euler equation xyz(x+y+z)=a

2022/09/04 by Seiji Tomita, Tomita, Seiji, Oliver Couto +1
Mathematics · Social Sciences · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #General Mathematics (math.GM) #Historical Geography and Cartography #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2209.08157

openalex publication_date 2022/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we derived the parametric solution of Euler and Elkies, xyz(x+y+z) = a, in an elementary manner. In addition we proved there are infinitely many parametric solutions of Euler's and Elkies's family of solutions.

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