Corpus ID: 102352265

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

  title={Note on Coleman's formula for the absolute Frobenius on Fermat curves},
  author={Tomokazu Kashio},
  journal={arXiv: Number Theory},
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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