Generating sets of Galois equivariant Krasner analytic functions

  • V. 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 and an element of the Tate field , the main goal of the present paper is to provide an explicit generating set, which is given by the trace function of and all its derivatives, for the -Banach algebra of the Galois equivariant Krasner analytic functions defined on the complement in of the orbit of with values in .

Cite this article

V. 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