A representation theorem for a class of rigid analytic functions

DOI10.5802/JTNB.417zbMath1070.11053OpenAlexW2329485986MaRDI QIDQ558154

Victor Alexandru, Alexandru Zaharescu, Nicolae Popescu

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_3_639_0

zbMATH Keywords

\(p\)-adic fieldsrigid analytic functionsLipschitzian elementstranscendental elements

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Rigid analytic geometry (14G22) Transcendental field extensions (12F20) Valued fields (12J10)

Related Items (3)

The behaviour of rigid analytic functions around orbits of elements of \(\mathbb C_p\) ⋮ The \(p\)-adic measure on the orbit of an element of \(\mathbb{C}_p\) ⋮ Generating sets of Galois equivariant Krasner analytic functions

Cites Work

• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• On the closed subfields of \(C_p\)
• Zeros of polynomials over local fields. The Galois action
• Trace on \(\mathbb{C}_p\)
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