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On the Zeros of Krasner Analytic Functions
Authors:Victor Alexandru  Nicolae Popescu  Marian Vâjâitu  Alexandru Zaharescu
Institution:1. Department of Mathematics, University of Bucharest, Bucharest, Romania
2. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5, P. O. Box 1-764, 014700, Bucharest, Romania
3. Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, IL, 61801, USA
Abstract:Given a prime number p and a compact subset X of the topological completion ? p of the algebraic closure of the field of p-adic numbers, we study the set of zeros of Krasner analytic functions defined on ?1(? p ) \ X with values in ? p .
Keywords:
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