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Critical slope p-adic L-functions of CM modular forms
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Lei, Antonio, Loeffler, David and Zerbes, Sarah Livia (2012) Critical slope p-adic L-functions of CM modular forms. Israel Journal of Mathematics, 198 (1). pp. 261-282. doi:10.1007/s11856-013-0020-0 ISSN 0021-2172.
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Official URL: http://dx.doi.org/10.1007/s11856-013-0020-0
Abstract
For ordinary modular forms, there are two constructions of a p-adic L-function attached to the non-unit root of the Hecke polynomial, which are conjectured but not known to coincide. We prove this conjecture for modular forms of CM type, by calculating the critical-slope L-function arising from Kato’s Euler system and comparing this with results of Bellaïche on the critical-slope L-function defined using overconvergent modular symbols.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Forms, Modular, L-functions, Number theory, p-adic numbers, Algebraic number theory | ||||
Journal or Publication Title: | Israel Journal of Mathematics | ||||
Publisher: | Magnes Press | ||||
ISSN: | 0021-2172 | ||||
Official Date: | 20 September 2012 | ||||
Dates: |
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Volume: | 198 | ||||
Number: | 1 | ||||
Page Range: | pp. 261-282 | ||||
DOI: | 10.1007/s11856-013-0020-0 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 25 January 2016 | ||||
Date of first compliant Open Access: | 25 January 2016 | ||||
Funder: | Centre de recherches mathématiques, Institut des sciences mathématiques |
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