Articles publiés
$p$-adic Fourier theory for $\mathbf{Q}_{p^2}$ and the Monna map
Konstantin Ardakov1 ; Laurent Berger2
1Mathematical Institute, University of Oxford
2UMPA, ENS de Lyon, UMR 5669 du CNRS
Confluentes Mathematici, Tome 18 (2026), pp. 71-79

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

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DOI : 10.5802/cml.105
Classification : 11S15, 11S31
Keywords: Lubin–Tate formal group, Cartier duality, $p$-adic Fourier theory, character variety

Konstantin Ardakov  1   ; Laurent Berger  2

1 Mathematical Institute, University of Oxford
2 UMPA, ENS de Lyon, UMR 5669 du CNRS
Licence : CC-BY-NC-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits
Konstantin Ardakov; Laurent Berger. $p$-adic Fourier theory for $\mathbf{Q}_{p^2}$ and the Monna map. Confluentes Mathematici, Tome 18 (2026), pp. 71-79. doi: 10.5802/cml.105
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[1] Konstantin Ardakov; Laurent Berger Bounded functions on the character variety, Münster J. Math., Volume 17 (2024) no. 1, pp. 1-83 | DOI | Zbl | MR

[2] Michiel Hazewinkel Formal groups and applications, AMS Chelsea Publishing, 2012, xxvi+573 pages | DOI | Zbl

[3] Antonie Frans Monna Sur une transformation simple des nombres ${P}$-adiques en nombres réels, Indag. Math., Volume 14 (1952), pp. 1-9 | Zbl | MR

[4] Peter Schneider; Jeremy Teitelbaum $p$-adic Fourier theory, Doc. Math., Volume 6 (2001), pp. 447-481 | DOI | Zbl | MR

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