The Library
Wach modules and critical slope p-adic L-functions
Tools
Loeffler, David and Zerbes, Sarah Livia (2011) Wach modules and critical slope p-adic L-functions. Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 (679). pp. 181-206. doi:10.1515/crelle.2012.012 ISSN 0075-4102.
|
PDF
WRAP_Leoffler_crelle.2012.012.pdf - Published Version - Requires a PDF viewer. Download (459Kb) | Preview |
Official URL: http://dx.doi.org/10.1515/crelle.2012.012
Abstract
We study Kato and Perrin-Riou's critical slope p-adic L-function attached to an ordinary modular form using the methods of A. Lei, D. Loeffler and S. L. Zerbes, Wach modules and Iwasawa theory for modular forms, Asian J. Math. 14 (2010), 475–528. We show that it may be decomposed as a sum of two bounded measures multiplied by explicit distributions depending only on the local properties of the modular form at p. We use this decomposition to prove results on the zeros of the p-adic L-function, and we show that our results match the behaviour observed in examples calculated by Pollack and Stevens in “Overconvergent modular symbols and p-adic L-functions”, Ann. Sci. Éc. Norm. Supér. (4) 44 (2011), no. 1, 1–42.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | L-functions | ||||
Journal or Publication Title: | Journal für die reine und angewandte Mathematik (Crelles Journal) | ||||
Publisher: | Walter de Gruyter | ||||
ISSN: | 0075-4102 | ||||
Official Date: | 26 July 2011 | ||||
Dates: |
|
||||
Volume: | 2013 | ||||
Number: | 679 | ||||
Number of Pages: | 26 | ||||
Page Range: | pp. 181-206 | ||||
DOI: | 10.1515/crelle.2012.012 | ||||
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: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/F04304X/1 (EPSRC), EP/F043007/1 (EPSRC) |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year