English

Another look at $p$-adic Fourier-theory

Number Theory 2026-03-18 v3

Abstract

In this short note, we show that a natural generalization of the pp-adic Fourier theory of Schneider and Teitelbaum follows immediately from the classification of pp-divisible groups over OCp\cal{O}_{\mathbb{C}_p} by Scholze and Weinstein. This paper has been superseded by [arXiv:2603.15446], where the results are extended and generalized.

Keywords

Cite

@article{arxiv.2409.20322,
  title  = {Another look at $p$-adic Fourier-theory},
  author = {Guido Kings and Johannes Sprang},
  journal= {arXiv preprint arXiv:2409.20322},
  year   = {2026}
}

Comments

14 pages, Superseded by arXiv:2603.15446. The results are fully included and generalized there. This version will not be submitted for publication

R2 v1 2026-06-28T19:02:22.219Z