The Hecke Algebra T_k has Large Index

Simple item page
dc.creatorCalegari, Frank
dc.creatorEmerton, Matthew
dc.date2003-11-21
dc.date.accessioned2026-07-07T05:03:07Z
dc.date.available2026-07-07T05:03:07Z
dc.descriptionLet 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.
dc.description13 pages, to appear in Math Research Letters
dc.identifierhttps://arxiv.org/abs/math/0311367
dc.identifierhttp://arxiv.org/abs/math/0311367
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69283
dc.subjectNumber Theory
dc.subject11F11, 11F80
dc.titleThe Hecke Algebra T_k has Large Index
dc.typetext

Files

Collections

arXiv