Mahler bases and elementary p-adic analysis

Ehud de Shalit

doi:10.5802/jtnb.955

Mahler bases and elementary p-adic analysis

Ehud de Shalit^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Various theorems in elementary p-adic analysis, commonly proved only for ℚ_p, and summarized in [4], are generalized to any local field, using the concept of a Mahler basis. In the last section we explain the relation of these results to the work [10]. The paper is largely self-contained.

Original language	English
Pages (from-to)	597-620
Number of pages	24
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	28
Issue number	3
DOIs	https://doi.org/10.5802/jtnb.955
State	Published - 2016

Bibliographical note

Publisher Copyright:
© Société Arithmétique de Bordeaux, 2016, tous droits réservés.

Keywords

Amice transform
Locally analytic distributions
Lubin-Tate groups
Mahler’s theorem

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10.5802/jtnb.955

Cite this

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Mahler bases and elementary p-adic analysis

Abstract

Bibliographical note

Keywords

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