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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Le théorème de Fermat-Goss
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by Laurent Denis
Trans. Amer. Math. Soc. 343 (1994), 713-726
DOI: https://doi.org/10.1090/S0002-9947-1994-1195509-1

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.
References
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Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 343 (1994), 713-726
  • MSC: Primary 11R58; Secondary 11D41
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1195509-1
  • MathSciNet review: 1195509