The behavior of rigid analytic functions around orbits of elements of ℂp

S. Achimescu; V. Alexandru; N. Popescu; M. Vajaitu; A. Zaharescu

doi:10.4171/RSMUP/127-10

The behavior of rigid analytic functions around orbits of elements of ℂ_p

S. Achimescu, V. Alexandru, N. Popescu, M. Vajaitu, A. Zaharescu

Mathematics

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

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.

Original language	English (US)
Pages (from-to)	193-211
Number of pages	19
Journal	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume	127
DOIs	https://doi.org/10.4171/RSMUP/127-10
State	Published - 2012

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Geometry and Topology

Online availability

10.4171/RSMUP/127-10

http://dx.doi.org/10.4171/RSMUP/127-10

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Cite this

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title = "The behavior of rigid analytic functions around orbits of elements of ℂp",

abstract = "Given a prime number p and the Galois orbit O(x) of an element x of ℂp, 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 ℂp.",

author = "S. Achimescu and V. Alexandru and N. Popescu and M. Vajaitu and A. Zaharescu",

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AU - Zaharescu, A.

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