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Reduction of matrices over orders of imaginary quadratic fields

✍ Scribed by Miroslav Kureš; Ladislav Skula


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
592 KB
Volume
435
Category
Article
ISSN
0024-3795

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Thomas’ Family of Thue Equations Over Im
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We consider the family of relative Thue equations where the parameter t, the root of unity µ 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| ≤ 1), if |t| is large enough or if the discriminant of the