ON THE DIOPHANTINE EQUATIONS z(2) = f(x)(2) +/- f(y)(2) INVOLVING LAURENT POLYNOMIALS

Zhang, Y; Zargar, AS

Zhang, Y (corresponding author), Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.; Zhang, Y (corresponding author), Hunan Prov Key Lab Math Modeling & Anal Ysis Engn, Changsha 410114, Peoples R China.

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2020; 62 (2): 187

Abstract

Using the theory of elliptic curves, we study the nontrivial rational (parametric) solutions of the Diophantine equations z(2) = f(x)(2) +/- f(y)(2) f......

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