Users without a subscription are not able to see the full content.

## Bas Edixhoven and Jean-Marc Couveignes

Print publication date: 2011

Print ISBN-13: 9780691142012

Published to University Press Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691142012.001.0001

Show Summary Details
Page of
date: 13 December 2017

# Polynomials for projective representations of level one forms

Chapter:
(p.159) Chapter Seven Polynomials for projective representations of level one forms
Source:
Computational Aspects of Modular Forms and Galois Representations
Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691142012.003.0007

This chapter explicitly computes mod-ℓ Galois representations attached to modular forms. To be precise, it looks at cases with l ≤ 23, and the modular forms considered will be cusp forms of level 1 and weight up to 22. The chapter presents the result in terms of polynomials associated with the projectivized representations. As an application, it will improve a known result on Lehmer's nonvanishing conjecture for Ramanujan's tau function.

University Press Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.