The Hecke Algebra T_k has Large Index

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let T_k denote the Hecke algebra acting on newforms of weight k and level N. We prove that the power of p dividing the index of T_k inside its normalisation grows at least linearly with k (for fixed N), answering a question of Serre. We also apply our method to give heuristic evidence towards recent conjectures of Buzzard and Mazur.
13 pages, to appear in Math Research Letters

Keywords

Number Theory, 11F11, 11F80

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311367
 http://arxiv.org/abs/math/0311367

Collections

arXiv