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Computation of classical and $v$-adic $L$-series of $t$-motives

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierAnalyse cryptographique et arithmétique [CANARI]
dc.contributor.authorCARUSO, Xavier
hal.structure.identifierCentre de Mathématiques Laurent Schwartz [CMLS]
dc.contributor.authorGAZDA, Quentin
dc.date.accessioned2024-04-04T02:30:54Z
dc.date.available2024-04-04T02:30:54Z
dc.date.created2024-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190275
dc.description.abstractEnWe design an algorithm for computing the $L$-series associated to an Anderson $t$-motives, exhibiting quasilinear complexity with respect to the target precision. Based on experiments, we conjecture that the order of vanishing at $T=1$ of the $v$-adic $L$-series of a given Anderson $t$-motive with good reduction does not depend on the finite place $v$.
dc.description.sponsorshipFonctions L : aspects p-adiques, analytiques et effectifs - ANR-22-CE40-0013
dc.language.isoen
dc.subject.enAnderson motives
dc.subject.enL-series
dc.subject.enalgorithms
dc.title.enComputation of classical and $v$-adic $L$-series of $t$-motives
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.subject.halInformatique [cs]/Calcul formel [cs.SC]
dc.identifier.arxiv2401.12618
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04410981
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04410981v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CARUSO,%20Xavier&GAZDA,%20Quentin&rft.genre=preprint


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