INTEGRAL STRUCTURES ON p-ADIC FOURIER THEORY

نویسندگان

  • KENICHI BANNAI
  • SHINICHI KOBAYASHI
چکیده

In this article, we study integral structures on p-adic Fourier theory by Schneider and Teitelbaum. As an application of our result, we give a certain integral basis of the space of K-locally analytic functions for any finite extension K of Qp, generalizing the basis of Amice of locally analytic functions on Zp. We also use our result to prove congruences of Bernoulli-Hurwitz numbers at supersingular primes originally investigated by Katz and Chellali.

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تاریخ انتشار 2008