La matrice de logarithme en termes de chiffres p-adiques

Research output: Contribution to journalArticlepeer-review

Abstract

We give a new description of the logarithm matrix of a modular form in terms of distributions, generalizing the work of Dion and Lei for the case ap=0. What allows us to include the case ap≠0 is a new definition, that of a distribution matrix, and the characterization of this matrix by p-adic digits. One can apply these methods to the corresponding case of distributions in multiple variables.

Original languageEnglish (US)
Pages (from-to)519-529
Number of pages11
JournalAnnales Mathematiques du Quebec
Volume48
Issue number2
DOIs
StatePublished - Oct 2024

Keywords

  • 11F85
  • 11R23
  • 26E30
  • Chiffres p-adiques (p-adic digits)
  • Courbe elliptique (elliptic curve)
  • Distributions p-adiques (p-adic distributions)
  • Forme modulaire (modular form)
  • Théorie d’Iwasawa (Iwasawa theory)

ASJC Scopus subject areas

  • General Mathematics

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