Integral structures on p-adic fourier theory

Kenichi Bannai, Shinichi Kobayashi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article, we give an explicit construction of the p-adic Fourier transform by Schneider and Teitelbaum, which allows for the investigation of the integral property. As an application, we give a certain integral basis of the space of K-locally analytic functions on the ring of integers OK for any finite extension K of Qp, generalizing the basis constructed by Amice for locally analytic functions on Zp. We also use our result to prove congruences of Bernoulli-Hurwitz numbers at non-ordinary (i.e. supersingular) primes originally investigated by Katz and Chellali.

Original languageEnglish
Pages (from-to)521-550
Number of pages30
JournalAnnales de l'Institut Fourier
Volume66
Issue number2
DOIs
Publication statusPublished - Jan 1 2016
Externally publishedYes

Fingerprint

P-adic
Analytic function
Bernoulli
Congruence
Fourier transform
Ring
Integer

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Integral structures on p-adic fourier theory. / Bannai, Kenichi; Kobayashi, Shinichi.

In: Annales de l'Institut Fourier, Vol. 66, No. 2, 01.01.2016, p. 521-550.

Research output: Contribution to journalArticle

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