Abstract
Coleman calculated the absolute Frobenius on Fermat curves explicitly. In this paper we show that a kind of p-adic continuity implies a large part of his formula. To do this, we study a relation between functional equations of the gamma function, monomial relations on CM-periods, and their p-adic analogues.
| Original language | English |
|---|---|
| Pages (from-to) | 1229-1250 |
| Number of pages | 22 |
| Journal | Annales de l'Institut Fourier |
| Volume | 74 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- Absolute Frobenius
- CM-periods
- Fermat curves
- Gross–Koblitz formula
- p-adic gamma function
- p-adic periods