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Some Diophantine equations in three variables with only finitely many solutions
Published online by Cambridge University Press: 26 February 2010
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This paper deals with diophantine equations and inequalities in three variables x, y, z. Write
Given an algebraic number field K of degree n and an element ξ of K, denote the conjugates of ξ by ξ(1) = ξ, ξ(2), …, ξ(n), and its norm ξ(1) … ξ(n) by N(ξ). Recent results [3] in diophantine approximations enable us to prove the following theorems.
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- Copyright © University College London 1967
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