Integral structures on $p$-adic Fourier theory

Details Integral structures on $p$-adic Fourier theory Integral structures on $p$-adic Fourier theory

2008-04-28

arxiv.org/abs/0804.4338v2

Mathematics

Number Theory

26 pages. v2. corrected problem with fonts

Scientific paper

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 $\Q_p$, generalizing the basis of Amice of locally analytic functions on $\Z_p$. We also use our result to prove congruences of Bernoulli-Hurwitz numbers at supersingular primes originally investigated by Katz and Chellali.

Affiliated with

Also associated with

No associations

Rating

Integral structures on $p$-adic Fourier theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integral structures on $p$-adic Fourier theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral structures on $p$-adic Fourier theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-691120