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Reduction theory over quadratic imaginary fields

✍ Scribed by David Fried


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
448 KB
Volume
110
Category
Article
ISSN
0022-314X

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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 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| ≀ 1), if |t| is large enough or if the discriminant of the