Notes on the Diophantine Equation A⁴+aB⁴=C⁴+aD⁴

2015/10/12 by Roediger, Paul A.
#11D25 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1510.03422

Abstract

A new formulation of the subject equation is presented. Several parametric and semi-parametric solutions are derived. The parametric solution for a=-1 was originally presented in 1972, but never published. A computer-generated version was found by Zajta and published in 1983. The pencil-and-paper version is presented for the record, along with many other examples, including eight coincidental triplet solutions.

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