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

Voir la notice de l'article provenant de la source American Mathematical Society

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 
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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