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Modular forms with large coefficient fields via congruences
| dc.contributor.author | Dieulefait, Luis |
| dc.contributor.author | Jiménez Urroz, Jorge |
| dc.contributor.author | Ribet, Keneth |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2016-01-08T12:27:07Z |
| dc.date.available | 2016-01-08T12:27:07Z |
| dc.date.issued | 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.issn | 2363-9555 |
| dc.identifier.uri | http://hdl.handle.net/2117/81139 |
| 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.format.extent | 14 p. |
| dc.language.iso | eng |
| dc.publisher | Springer |
| dc.rights.uri | 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.lcsh | Numerical analysis |
| dc.title | Modular forms with large coefficient fields via congruences |
| dc.type | Article |
| dc.subject.lemac | Anàlisi numèrica |
| dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
| dc.identifier.doi | 10.1007/s40993-015-0003-9 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::65 Numerical analysis::65L Ordinary differential equations |
| dc.rights.access | Open Access |
| local.identifier.drac | 15886182 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Dieulefait, L.; Jimenez, J.; Ribet, K. |
| local.citation.publicationName | research in number theory |
| local.citation.volume | 1 |
| local.citation.number | 2 |
| local.citation.startingPage | 1 |
| local.citation.endingPage | 14 |
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