Mahler bases and elementary p-adic analysis

Ehud de Shalit*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Various theorems in elementary p-adic analysis, commonly proved only for ℚp, 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 languageAmerican English
Pages (from-to)597-620
Number of pages24
JournalJournal de Theorie des Nombres de Bordeaux
Volume28
Issue number3
DOIs
StatePublished - 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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