Rendiconti del Seminario Matematico della Università di Padova


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Volume 127, 2012, pp. 193–211
DOI: 10.4171/RSMUP/127-10

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

S. Achimescu[1], V. Alexandru[2], Nicolae Popescu[3], Marian Vâjâitu[4] and Alexandru Zaharescu[5]

(1) Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania
(2) Department of Mathematics, University of Bucharest, 14 Academiei Street, 010014, Bucharest, Romania
(3) Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania
(4) "Simion Stoilow" Institute of Mathematics, Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania
(5) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W Green Street, IL 61801-2975, Urbana, USA

Given a prime number $p$ and the Galois orbit $O(x)$ of an element $x$ of $\mathbb{C}_p$, 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 $\mathbb{C}_p$.

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Achimescu S., Alexandru V., Popescu Nicolae, Vâjâitu Marian, Zaharescu Alexandru: The Behaviour of Rigid Analytic Functions around Orbits of Elements of $\mathbb{C}_p$. Rend. Sem. Mat. Univ. Padova 127 (2012), 193-211. doi: 10.4171/RSMUP/127-10