Meromorphic solutions of equations over non-Archimedean fields

DOI10.1007/s11139-007-9086-9zbMath1247.30041OpenAlexW1975319573MaRDI QIDQ953261

Alain Escassut, Ta Thi Hoai An

Publication date: 17 November 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9086-9

zbMATH Keywords

singularityNevanlinna theorycurvefunctional equationsmeromorphic functionsuniqueness polynomials

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean function theory (30G06)

Related Items (5)

HEIGHTS OF FUNCTION FIELD POINTS ON CURVES GIVEN BY EQUATIONS WITH SEPARATED VARIABLES ⋮ Meromorphic functions of uniqueness ⋮ P-adic Nevanlinna theory outside of a hole ⋮ Genus one factors of curves defined by separated variable polynomials ⋮ New results on applications of Nevanlinna methods to value sharing problems

Cites Work

• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• A note on uniqueness polynomials of entire functions
• The functional equation \(P(f)=Q(g)\) in a \(p\)-adic field.
• On uniqueness of meromorphic functions sharing finite sets
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem
• Unique range sets and uniqueness polynomials in positive characteristic
• Unique range sets in positive characteristic
• Uniqueness polynomials and bi-unique range sets for rational functions and non-Archimedean meromorphic functions
• Unique range sets and uniqueness polynomials in positive characteristic II
• Rigid analytic Picard theorems
• p-ADIC NEVANLINNA-CARTAN THEOREM
• On uniqueness polynomials and bi-URS for \(p\)-adic meromorphic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Meromorphic solutions of equations over non-Archimedean fields