Modular forms with large coefficient fields via congruences

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/81139

Title:	Modular forms with large coefficient fields via congruences
Author:	Dieulefait, Luis; Jiménez Urroz, Jorge; Ribet, Keneth
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
Abstract:	We use the theory of congruences between modular forms to prove the existence of newforms with square-free level having a fixed number of prime factors such that the degree of their coefficient fields is arbitrarily large. We also prove a similar result for certain almost square-free levels.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Numerical analysis -Anàlisi numèrica -Classificació AMS::65 Numerical analysis::65L Ordinary differential equations
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
Published by:	Springer
Share: