Generating sets of Galois equivariant Krasner analytic functions

DOI10.4171/RSMUP/22zbMath1432.32027WikidataQ127736625 ScholiaQ127736625MaRDI QIDQ2313583

Alexandru Zaharescu, Victor Alexandru, Marian Vâjâitu

Publication date: 19 July 2019

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

generating setstrace functionsgenerating degreeKrasner analytic functions

Mathematics Subject Classification ID

Galois theory (11S20) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Algebras of holomorphic functions of several complex variables (32A38) Non-Archimedean analysis (32P05)

Cites Work

• Representation results for equivariant rigid analytic functions
• A representation theorem for a class of rigid analytic functions
• Completions of r.a.t.-valued fields of rational functions
• On the closed subfields of \(C_p\)
• Rigid analytic geometry and its applications
• Arithmetic of Weil curves
• Generating elements for \(B_{dR}^+\)
• Trace functions and Galois invariant \(p\)-adic measures
• On the existence of trace for elements of \(\mathbb{C}_p\)
• On automorphisms of local fields
• Zeros of polynomials over local fields. The Galois action
• The Generating Degree of ℂ_p
• Trace on \(\mathbb{C}_p\)
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