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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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First description of the algorithms

First description of the algorithms

(p.69) Chapter Three First description of the algorithms
Computational Aspects of Modular Forms and Galois Representations

Jean-Marc Couveignes

Bas Edixhoven

Princeton University Press

This chapter provides the first, informal description of the algorithms. It explains how the computation of the Galois representations V attached to modular forms over finite fields should proceed. The essential step is to approximate the minimal polynomial P of (3.1) with sufficient precision so that P itself can be obtained.

Keywords:   modular forms, algorithms, Galois representation, finite fields

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