Modular forms with large coefficient fields via congruences

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

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
dc.contributor.author	Dieulefait, Luis
dc.contributor.author	Jiménez Urroz, Jorge
dc.contributor.author	Ribet, Keneth
dc.date	2015-05-01
dc.identifier.citation	Dieulefait, L., Jimenez, J., Ribet, K. Modular forms with large coefficient fields via congruences. "research in number theory", 01 Maig 2015, vol. 1, núm. 2, p. 1-14.
dc.identifier.citation	2363-9555
dc.identifier.citation	10.1007/s40993-015-0003-9
dc.identifier.uri	http://hdl.handle.net/2117/81139
dc.language.iso	eng
dc.publisher	Springer
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject	Numerical analysis
dc.subject	Anàlisi numèrica
dc.subject	Classificació AMS::65 Numerical analysis::65L Ordinary differential equations
dc.title	Modular forms with large coefficient fields via congruences
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.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.
dc.description.abstract	Peer Reviewed

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