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On the Solvability of Quintic and Sextic Diophantine Equations of the Type f(x, y)=f(u, v)

✍ Scribed by Ajai Choudhry

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 120 KB
Volume: 88
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2603

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✦ Synopsis

In this paper theorems have been obtained giving necessary and sufficient conditions for the solvability of the diophantine equations f (x, y)= f (u, v) where f (x, y) is an arbitrary binary quintic or sextic form. These theorems have then been applied to obtain numerical or parametric solutions of certain specific quintic and sextic equations.

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