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Computational Aspects of Modular Forms and Galois RepresentationsHow One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176)$
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Bas Edixhoven and Jean-Marc Couveignes

Print publication date: 2011

Print ISBN-13: 9780691142012

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691142012.001.0001

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Modular curves, modular forms, lattices, Galois representations

Modular curves, modular forms, lattices, Galois representations

Chapter:
(p.29) Chapter Two Modular curves, modular forms, lattices, Galois representations
Source:
Computational Aspects of Modular Forms and Galois Representations
Author(s):

Bas Edixhoven

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691142012.003.0002

This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields and reduction to torsion in Jacobians.

Keywords:   modular forms, modular curves, lattices, Galois representations, eigenforms, finite fields, torsion, Jacobians

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