New applications of the \(p\)-adic Nevanlinna theory

DOI10.1134/S2070046618010028zbMath1432.30032OpenAlexW2501635370WikidataQ114074759 ScholiaQ114074759MaRDI QIDQ2317190

Ta Thi Hoai An, Alain Escassut

Publication date: 8 August 2019

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046618010028

zbMATH Keywords

Nevanlinna theory\(p\)-adic meromorphic functionssmall functionsdistribution of values

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Non-Archimedean function theory (30G06)

Cites Work

• Unnamed Item
• Uniqueness and periodicity of meromorphic functions concerning the difference operator
• On p-adic meromorphic functions
• Complex and \(p\)-adic branched functions and growth of entire functions
• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• La décomposition d'un élément analytique en facteurs singuliers
• P-adic Nevanlinna theory outside of a hole
• The second main theorem for small functions and related problems
• Motzkin factorization in algebras of analytic elements
• Uniqueness of meromorphic functions sharing two finite sets
• Meromorphic functions in \(m\)-punctured complex planes.
• Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field
• URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC
• Value Distribution in p-adic Analysis
• A defect relation for non-Archimedean analytic curves in arbitrary projective varieties

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