Computation of classical and $v$-adic $L$-series of $t$-motives
CARUSO, Xavier
Institut de Mathématiques de Bordeaux [IMB]
Analyse cryptographique et arithmétique [CANARI]
Institut de Mathématiques de Bordeaux [IMB]
Analyse cryptographique et arithmétique [CANARI]
CARUSO, Xavier
Institut de Mathématiques de Bordeaux [IMB]
Analyse cryptographique et arithmétique [CANARI]
< Leer menos
Institut de Mathématiques de Bordeaux [IMB]
Analyse cryptographique et arithmétique [CANARI]
Idioma
en
Document de travail - Pré-publication
Resumen en inglés
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 ...Leer más >
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 $v$.< Leer menos
Palabras clave en inglés
Anderson motives
L-series
algorithms
Proyecto ANR
Fonctions L : aspects p-adiques, analytiques et effectifs - ANR-22-CE40-0013
Orígen
Importado de HalCentros de investigación