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 language | English (US) |
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Pages (from-to) | 519-529 |
Number of pages | 11 |
Journal | Annales Mathematiques du Quebec |
Volume | 48 |
Issue number | 2 |
DOIs | |
State | Published - 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