Computation of classical and $v$-adic $L$-series of $t$-motives
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | CARUSO, Xavier | |
| hal.structure.identifier | Centre de Mathématiques Laurent Schwartz [CMLS] | |
| dc.contributor.author | GAZDA, Quentin | |
| dc.date.accessioned | 2024-04-04T02:30:54Z | |
| dc.date.available | 2024-04-04T02:30:54Z | |
| dc.date.created | 2024-01 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190275 | |
| dc.description.abstractEn | We 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.sponsorship | Fonctions L : aspects p-adiques, analytiques et effectifs - ANR-22-CE40-0013 | |
| dc.language.iso | en | |
| dc.subject.en | Anderson motives | |
| dc.subject.en | L-series | |
| dc.subject.en | algorithms | |
| dc.title.en | Computation of classical and $v$-adic $L$-series of $t$-motives | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Informatique [cs]/Calcul formel [cs.SC] | |
| dc.identifier.arxiv | 2401.12618 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04410981 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04410981v1 | |
| bordeaux.COinS | ctx_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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