Some Diophantine equations

For positive integers x, y, the equation x4 + (n2-2)y - z always has the trivial solution x - y. In Chapter 1, we discuss the conditions under which the above equation cannot have any non-trivial solutions in positive integers. We also prove that if the above equation has no non-trivial solutions, t...

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Bibliographic Details
Main Author: Veluppillai, Manoranjitham
Published: Royal Holloway, University of London 1977
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.476028