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Computing level one Hecke eigensystems (mod $p$ )

Part of: Computational number theory Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  01 August 2013

Craig Citro  and
Alexandru Ghitza
Craig Citro
Affiliation:
Google 651 North 34th Street Seattle, WA 98103USA email craigcitro@gmail.com
Alexandru Ghitza
Affiliation:
Department of Mathematics and Statistics The University of Melbourne Parkville, VIC, 3010Australia email aghitza@alum.mit.edu

Abstract

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We describe an algorithm for enumerating the set of level one systems of Hecke eigenvalues arising from modular forms (mod  $p$ ).

Supplementary materials are available with this article.

MSC classification

Secondary: 11F11: Holomorphic modular forms of integral weight 11F25: Hecke-Petersson operators, differential operators (one variable) 11F33: Congruences for modular and $p$-adic modular forms 11F80: Galois representations 11Y40: Algebraic number theory computations

Information

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 16 , October 2013 , pp. 246 - 270
Copyright
© The Author(s) 2013 

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Supplementary material: File

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Supplementary Material

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