Geodesic
Rank one case of Dwork’s conjecture
Wan, Daqing1
1 Department of Mathematics, University of California, Irvine, California 92697
Journal of the American Mathematical Society, Tome 13 (2000) no. 4, pp. 853-908 Cet article a éte moissonné depuis la source American Mathematical Society

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In this paper, we prove the rank one case of Dwork’s conjecture on the $p$-adic meromorphic continuation of the pure slope L-functions arising from the slope decomposition of an overconvergent F-crystal. Further explicit information about zeros and poles of the pure slope L-functions are also obtained, including an application to the Gouvêa-Mazur type conjecture in this setting.
DOI : 10.1090/S0894-0347-00-00340-4

Wan, Daqing 1

1 Department of Mathematics, University of California, Irvine, California 92697 
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Wan, Daqing. Rank one case of Dwork’s conjecture. Journal of the American Mathematical Society, Tome 13 (2000) no. 4, pp. 853-908. doi: 10.1090/S0894-0347-00-00340-4

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