Generating sets of Galois equivariant Krasner analytic functions

  • Victor Alexandru

    University of Bucharest, Romania
  • Marian Vâjâitu

    Romanian Academy, Bucharest, Romania
  • Alexandru Zaharescu

    Romanian Academy, Bucharest, Romania, and University of Illinois at Urbana-Champaign, USA
Generating sets of Galois equivariant Krasner analytic functions cover
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Abstract

Given a prime number pp and xx an element of the Tate field Cp\mathbb C_p, the main goal of the present paper is to provide an explicit generating set, which is given by the trace function of xx and all its derivatives, for the Cp\mathbb C_p-Banach algebra of the Galois equivariant Krasner analytic functions defined on the complement in P1(Cp)\mathbb P^1(\mathbb C_p) of the orbit of xx with values in Cp\mathbb C_p.

Cite this article

Victor Alexandru, Marian Vâjâitu, Alexandru Zaharescu, Generating sets of Galois equivariant Krasner analytic functions. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 195–208

DOI 10.4171/RSMUP/22