A representation theorem for a class of rigid analytic functions

Victor Alexandru; Nicolae Popescu; Alexandru Zaharescu

doi:10.5802/jtnb.417

A representation theorem for a class of rigid analytic functions

Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let p be a prime number, Q_p the field of p-adic numbers and C_p the completion of the algebraic closure of Q_p. In this paper we obtain a representation theorem for rigid analytic functions on P¹ (C_p)BC(t,ε) which are equivariant with respect to the Galois group G = Gal_cont(C_p/Q_p), where t is a Lipschitzian element of C_p and C(t, ε) denotes the e-neighborhood of the G-orbit of t.

Original language	English (US)
Pages (from-to)	639-650
Number of pages	12
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	15
Issue number	3
DOIs	https://doi.org/10.5802/jtnb.417
State	Published - 2003

ASJC Scopus subject areas

Algebra and Number Theory

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A representation theorem for a class of rigid analytic functions

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