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On the computation of local components of a newform
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Loeffler, David and Weinstein, Jared (2012) On the computation of local components of a newform. Mathematics of Computation, Vol.81 (No.278). pp. 1179-1200. doi:10.1090/S0025-5718-2011-02530-5
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Official URL: http://dx.doi.org/10.1090/S0025-5718-2011-02530-5
Abstract
The problem. Let f be a cuspidal newform for Γ1(N) with weight k ≥ 2 and
character ε. There are well-established methods for computing such forms using
modular symbols; see [Ste07]. Let πf be the corresponding automorphic representation
of the adèle group GL2(AQ).
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Cusp forms (Mathematics), Adeles | ||||
| Journal or Publication Title: | Mathematics of Computation | ||||
| Publisher: | American Mathematical Society | ||||
| ISSN: | 0025-5718 | ||||
| Official Date: | 2012 | ||||
| Dates: |
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| Volume: | Vol.81 | ||||
| Number: | No.278 | ||||
| Page Range: | pp. 1179-1200 | ||||
| DOI: | 10.1090/S0025-5718-2011-02530-5 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF) | ||||
| Grant number: | EP/F04304X/2 (EPSRC), DMS-0803089 (NSF) |
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