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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

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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:
DateEvent
2012Published
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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