Corpus ID: 102352265

# Note on Coleman's formula for the absolute Frobenius on Fermat curves

@article{Kashio2019NoteOC,
title={Note on Coleman's formula for the absolute Frobenius on Fermat curves},
author={Tomokazu Kashio},
journal={arXiv: Number Theory},
year={2019}
}
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 ($p$-adic) gamma function and monomial relations on ($p$-adic) CM-periods.

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