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ArticleOriginal scientific text

Title

Nevanlinna theory on the p-adic plane

Authors 1

Affiliations

  1. Departamento De Algebra, Facultad De Matemáticas, Universidad Complutense De Madrid, 28040 Madrid, Spain

Abstract

Let be a complete and algebraically closed non-Archimedean valued field. Following ideas of Marc Krasner and Philippe Robba, we define K-meromorphic functions from to . We show that the Nevanlinna theory for functions of a single complex variable may be extended to those functions (and consequently to meromorphic functions).

Keywords

ENG
K-meromorphic function, non-Archimedean valuation, Nevanlinna theory

Bibliography

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Annales Polonici Mathematici
1992/57/2
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Pages:
135-147
Main language of publication
English
Received
1991-03-25
Accepted
1991-09-17
Published
1992
Exact and natural sciences