Thomasβ Family of Thue Equations Over Im
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Clemens Heuberger; Attila PethΕ; Robert F Tichy
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Article
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2002
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Elsevier Science
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English
β 310 KB
We consider the family of relative Thue equations where the parameter t, the root of unity Β΅ and the solutions x and y are integers in the same imaginary quadratic number field. We prove that there are only trivial solutions (with |x|, |y| β€ 1), if |t| is large enough or if the discriminant of the