Computing weight modular forms of level
Authors:
Ariel Pacetti and Fernando Rodriguez Villegas; with an appendix by B. Gross
Journal:
Math. Comp. 74 (2005), 15451557
MSC (2000):
Primary 11F11; Secondary 11E20, 11Y99
Published electronically:
September 10, 2004
MathSciNet review:
2137017
Fulltext PDF Free Access
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Abstract: For a prime we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space of modular forms of weight and level . For we define a special Hecke stable subspace of which contains the space of modular forms with CM by the ring of integers of and we describe the calculation of the corresponding Brandt matrices.
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Additional Information
Ariel Pacetti
Affiliation:
Department of Mathematics, University of Texas at Austin, Texas 78712
Email:
apacetti@math.utexas.edu
Fernando Rodriguez Villegas
Affiliation:
Department of Mathematics, University of Texas at Austin, Texas 78712
Email:
villegas@math.utexas.edu
B. Gross
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massacusetts 02138
Email:
gross@math.harvard.edu
DOI:
http://dx.doi.org/10.1090/S0025571804017090
PII:
S 00255718(04)017090
Received by editor(s):
February 18, 2003
Received by editor(s) in revised form:
December 16, 2003
Published electronically:
September 10, 2004
Additional Notes:
The first and second authors were supported in part by grants from TARP and NSF (DMS9970109); they would like to thank the Department of Mathematics at Harvard University, where part of this work was done, for its hospitality
Article copyright:
© Copyright 2004 American Mathematical Society
