Mostra el registre d'ítem simple
Computing congruences of modular forms and Galois representations modulo prime powers
dc.contributor.author | Taixes Ventosa, Xavier |
dc.contributor.author | Wiese, Gabor |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2011-02-25T11:15:11Z |
dc.date.available | 2011-02-25T11:15:11Z |
dc.date.created | 2010 |
dc.date.issued | 2010 |
dc.identifier.citation | Taixés, X.; Wiese, G. Computing congruences of modular forms and Galois representations modulo prime powers. "Contemporary mathematics", 2010, vol. 521, p. 145-170. |
dc.identifier.issn | 0271-4132 |
dc.identifier.uri | http://hdl.handle.net/2117/11544 |
dc.description.abstract | This article starts a computational study of congruences of modular forms and modular Galois representations modulo prime powers. Algorithms are described that compute the maximum integer modulo which two monic coprime integral polynomials have a root in common in a sense that is defined. These techniques are applied to the study of congruences of modular forms and modular Galois representations modulo prime powers. Finally, some computational results with implications on the (non-)liftability of modular forms modulo prime powers and possible generalisations of level raising are presented. |
dc.format.extent | 26 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres |
dc.subject.lcsh | Galois theory |
dc.subject.lcsh | Forms, Modular |
dc.subject.lcsh | Congruences (Geometry) |
dc.subject.lcsh | Number theory |
dc.title | Computing congruences of modular forms and Galois representations modulo prime powers |
dc.type | Article |
dc.subject.lemac | Galois, Teoria de |
dc.subject.lemac | Formes modulars |
dc.subject.lemac | Congruències (Geometria) |
dc.subject.lemac | Nombres, Teoria dels |
dc.rights.access | Open Access |
local.identifier.drac | 2941133 |
dc.description.version | Postprint (published version) |
local.citation.author | Taixés, X.; Wiese, G. |
local.citation.publicationName | Contemporary mathematics |
local.citation.volume | 521 |
local.citation.startingPage | 145 |
local.citation.endingPage | 170 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.269]