The Behaviour of Rigid Analytic Functions around Orbits of Elements of $\mathbb{C}_p$

S. Achimescu; V. Alexandru; Nicolae Popescu; Marian Vâjâitu; Alexandru Zaharescu

doi:10.4171/rsmup/127-10

JournalsrsmupVol. 127pp. 193–211

The Behaviour of Rigid Analytic Functions around Orbits of Elements of $C_{p}$

S. Achimescu
Romanian Academy, Bucharest, Romania
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V. Alexandru
University of Bucharest, Romania
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Nicolae Popescu
Romanian Academy, Bucharest, Romania
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Marian Vâjâitu
Romanian Academy, Bucharest, Romania
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Alexandru Zaharescu
University of Illinois at Urbana-Champaign, United States
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$The Behaviour of Rigid Analytic Functions around Orbits of Elements of $\mathbb{C}_p$ cover$

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Abstract

Given a prime number $p$ and the Galois orbit $O (x)$ of an element $x$ of $C_{p}$ , the topological completion of the algebraic closure of the field of $p$ -adic numbers, we study the behavior of rigid analytic functions around orbits of elements of $C_{p}$ .

Cite this article

S. Achimescu, V. Alexandru, Nicolae Popescu, Marian Vâjâitu, Alexandru Zaharescu, The Behaviour of Rigid Analytic Functions around Orbits of Elements of $C_{p}$ . Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 193–211

DOI 10.4171/RSMUP/127-10