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Mathematics of Computation

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Computing systems of Hecke eigenvalues associated to Hilbert modular forms


Authors: Matthew Greenberg and John Voight
Journal: Math. Comp. 80 (2011), 1071-1092
MSC (2010): Primary 11F46, 11G18
Published electronically: September 30, 2010
MathSciNet review: 2772112
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Abstract: We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues associated to Hilbert modular forms over a totally real field $ F$.


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Additional Information

Matthew Greenberg
Affiliation: University of Calgary, 2500 University Drive NW, Calgary, AB, T2N 1N4, Canada
Email: mgreenbe@math.ucalgary.ca

John Voight
Affiliation: Department of Mathematics and Statistics, University of Vermont, 16 Colchester Ave, Burlington, Vermont 05401
Email: jvoight@gmail.com

DOI: https://doi.org/10.1090/S0025-5718-2010-02423-8
Received by editor(s): April 24, 2009
Received by editor(s) in revised form: February 19, 2010
Published electronically: September 30, 2010
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.