Abstract
Given a prime number p and x an element of the Tate field Cp, the main goal of the present paper is to provide an explicit generating set, which is given by the trace function of x and all its derivatives, for the Cp-Banach algebra of the Galois equivariant Krasner analytic functions defined on the complement in P1.Cp/ of the orbit of x with values in Cp.
Original language | English (US) |
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Pages (from-to) | 195-208 |
Number of pages | 14 |
Journal | Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova |
Volume | 141 |
DOIs | |
State | Published - 2019 |
Keywords
- Generating sets
- Krasner analytic functions
- generating degree
- trace functions
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Mathematical Physics
- Geometry and Topology