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Cropping Euler factors of modular L-functions
dc.contributor.author | González Rovira, Josep |
dc.contributor.author | Jiménez Urroz, Jorge |
dc.contributor.author | Lario Loyo, Joan Carles |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2013-11-25T17:05:43Z |
dc.date.available | 2013-11-25T17:05:43Z |
dc.date.created | 2013-09 |
dc.date.issued | 2013-09 |
dc.identifier.citation | Gonzalez, J.; Jimenez, J.; Lario, J. Cropping Euler factors of modular L-functions. "Forum mathematicum", Setembre 2013, vol. 25, núm. 5, p. 1039-1066. |
dc.identifier.issn | 0933-7741 |
dc.identifier.uri | http://hdl.handle.net/2117/20759 |
dc.description.abstract | According to the Birch and Swinnerton-Dyer conjectures, if A/Q is an abelian variety, then its L-function must capture a substantial part of the properties of A. The smallest number field L where A has all its endomorphisms defined must also play a role. This article deals with the relationship between these two objects in the specific case of modular abelian varieties Af =Q associated to weight 2 newforms for the group t1(N). Specifically, our goal is to relate ords=1 L(Af =Q, s), with the order at s D 1 of Euler products restricted to primes that split completely in L. This is attained when a power of Af is isogenous over Q to the Weil restriction of the building block of Af . We give separated formulae for the CM and non-CM cases. |
dc.format.extent | 28 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 |
dc.subject.lcsh | Abelian varieties |
dc.subject.lcsh | Frobenius algebras |
dc.subject.other | Abelian varieties |
dc.subject.other | Distribution of Frobenius elements |
dc.subject.other | L-functions |
dc.title | Cropping Euler factors of modular L-functions |
dc.type | Article |
dc.subject.lemac | Varietats abelianes |
dc.subject.lemac | Matemàtica aplicada |
dc.subject.lemac | Frobenius, Àlgebra de |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.contributor.group | Universitat Politècnica de Catalunya. MAK - Matemàtica Aplicada a la Criptografia |
dc.identifier.doi | 10.1515/FORM.2011.140 |
dc.relation.publisherversion | http://arxiv.org/pdf/1002.4373v2.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 12857419 |
dc.description.version | Postprint (published version) |
local.citation.author | Gonzalez, J.; Jimenez, J.; Lario, J. |
local.citation.publicationName | Forum mathematicum |
local.citation.volume | 25 |
local.citation.number | 5 |
local.citation.startingPage | 1039 |
local.citation.endingPage | 1066 |
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