Jump to ContentJump to Main Navigation
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)$
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 Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691142012.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 17 September 2021

Bounds for Arakelov invariants of modular curves

Bounds for Arakelov invariants of modular curves

(p.217) Chapter Eleven Bounds for Arakelov invariants of modular curves
Computational Aspects of Modular Forms and Galois Representations

Bas Edixhoven

Robin de Jong

Princeton University Press

This chapter gives bounds for all quantities on the right-hand side in the inequality in Theorems 9.1.1 and 9.2.5, in the context of the modular curves X₁(5l) with l > 5 prime, using the upper bounds for Green functions from Chapter 10. The final estimates are given in the last section of the chapter.

Keywords:   modular forms, bounds, inequality, polynomials, Green functions, modular curves

Princeton 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.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.