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Problèmes D'effectivité sur les Quartiques de Fermat
Published online by Cambridge University Press: 17 April 2009
Extract
Let K be a number field. An element b ∈ K* being given, let Cb be the curve defined over K by the equation x4 + y4 = bz4. Let Cb(K) be the set of the K-rational points of Cb. This paper uses Dem'janenko and Manin type methods to obtain effective criteria for Cb(K) to be empty.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 75 , Issue 1 , February 2007 , pp. 91 - 119
- Copyright
- Copyright © Australian Mathematical Society 2007