Rank one case of Dwork’s conjecture
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- by Daqing Wan;
- J. Amer. Math. Soc. 13 (2000), 853-908
- DOI: https://doi.org/10.1090/S0894-0347-00-00340-4
- Published electronically: June 6, 2000
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Abstract:
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.References
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Bibliographic Information
- Daqing Wan
- Affiliation: Department of Mathematics, University of California, Irvine, California 92697
- MR Author ID: 195077
- Email: dwan@math.uci.edu
- Received by editor(s): June 28, 1999
- Received by editor(s) in revised form: April 10, 2000
- Published electronically: June 6, 2000
- Additional Notes: This work was partially supported by the National Science Foundation
- © Copyright 2000 American Mathematical Society
- Journal: J. Amer. Math. Soc. 13 (2000), 853-908
- MSC (2000): Primary 11G40, 11S40; Secondary 11M41, 11G25
- DOI: https://doi.org/10.1090/S0894-0347-00-00340-4
- MathSciNet review: 1775761