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dc.contributor.authorGonzález Rovira, Josep
dc.contributor.authorJiménez Urroz, Jorge
dc.contributor.authorLario Loyo, Joan Carles
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.date.accessioned2013-11-25T17:05:43Z
dc.date.available2013-11-25T17:05:43Z
dc.date.created2013-09
dc.date.issued2013-09
dc.identifier.citationGonzalez, 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.issn0933-7741
dc.identifier.urihttp://hdl.handle.net/2117/20759
dc.description.abstractAccording 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.extent28 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshAbelian varieties
dc.subject.lcshFrobenius algebras
dc.subject.otherAbelian varieties
dc.subject.otherDistribution of Frobenius elements
dc.subject.otherL-functions
dc.titleCropping Euler factors of modular L-functions
dc.typeArticle
dc.subject.lemacVarietats abelianes
dc.subject.lemacMatemàtica aplicada
dc.subject.lemacFrobenius, Àlgebra de
dc.contributor.groupUniversitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
dc.contributor.groupUniversitat Politècnica de Catalunya. MAK - Matemàtica Aplicada a la Criptografia
dc.identifier.doi10.1515/FORM.2011.140
dc.relation.publisherversionhttp://arxiv.org/pdf/1002.4373v2.pdf
dc.rights.accessOpen Access
local.identifier.drac12857419
dc.description.versionPostprint (published version)
local.citation.authorGonzalez, J.; Jimenez, J.; Lario, J.
local.citation.publicationNameForum mathematicum
local.citation.volume25
local.citation.number5
local.citation.startingPage1039
local.citation.endingPage1066


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