Note on Coleman's formula for the absolute Frobenius on Fermat curves
Number Theory
2022-11-30 v2
Abstract
Coleman calculated the absolute Frobenius on Fermat curves explicitly. In this paper we show that a kind of -adic continuity implies a large part of his formula. To do this, we study a relation between functional equations of the (-adic) gamma function and monomial relations on (-adic) CM-periods.
Cite
@article{arxiv.1904.02879,
title = {Note on Coleman's formula for the absolute Frobenius on Fermat curves},
author = {Tomokazu Kashio},
journal= {arXiv preprint arXiv:1904.02879},
year = {2022}
}
Comments
18 pages, to appear in Annales de l'Institut Fourier