Author:
Brindza B.,Evertse J. H.,Györy K.
Abstract
AbstractSeveral effective upper bounds are known for the solutions of Thue equations, Thue-Mahler equations and superelliptic equations. One of the basic parameters occurring in these bounds is the height of the polynomial involved in the equation. In the present paper it is shown that better (and, in certain important particular cases, best possible) upper bounds can be obtained in terms of the height, if one takes into consideration also the discriminant of the polynomial.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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