@article{7b25bcc1cce0486e8b6fcbeda6394390,
title = "NOTE ON COLEMAN'S FORMULA FOR THE ABSOLUTE FROBENIUS ON FERMAT CURVES",
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.",
keywords = "Absolute Frobenius, CM-periods, Fermat curves, Gross–Koblitz formula, p-adic gamma function, p-adic periods",
author = "Tomokazu Kashio",
note = "Publisher Copyright: {\textcopyright} 2024 Association des Annales de l'Institut Fourier. All rights reserved.",
year = "2024",
doi = "10.5802/aif.3615",
language = "English",
volume = "74",
pages = "1229--1250",
journal = "Annales de l'Institut Fourier",
issn = "0373-0956",
publisher = "Association des Annales de l'Institut Fourier",
number = "3",
}