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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Le théorème de Fermat-Goss

Author: Laurent Denis
Journal: Trans. Amer. Math. Soc. 343 (1994), 713-726
MSC: Primary 11R58; Secondary 11D41
MathSciNet review: 1195509
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Abstract: The analogue of the Fermat equation and of the Fermat conjecture is studied by Goss [G], on the rational function fields in characteristic $ p > 0$. We prove here that this equation has no nontrivial solutions. When $ q = 2$, the method uses the canonical height on the t-module constructed in [D]. This method also gives finiteness theorems for some generalization of the Fermat equation in higher dimension.

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