English

$p$-adic Fourier theory for $\mathbf{Q}_{p^2}$ and the Monna map

Number Theory 2024-05-10 v1

Abstract

We show that the coefficients of a power series occurring in pp-adic Fourier theory for Qp2\mathbf{Q}_{p^2} have valuations that are given by an intriguing formula.

Keywords

Cite

@article{arxiv.2405.05726,
  title  = {$p$-adic Fourier theory for $\mathbf{Q}_{p^2}$ and the Monna map},
  author = {Konstantin Ardakov and Laurent Berger},
  journal= {arXiv preprint arXiv:2405.05726},
  year   = {2024}
}

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8 pages