The functional equation \(P(f)=Q(g)\) in a \(p\)-adic field.

DOI10.1016/j.jnt.2003.11.005zbMath1054.30043OpenAlexW2084304436MaRDI QIDQ1429818

Chung-Chun Yang, Alain Escassut

Publication date: 27 May 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.11.005

zbMATH Keywords

functional equation\(p\)-adic Nevanlinna theory

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Rigid analytic geometry (14G22) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25)

Related Items (7)

Curriculum Vitae of Chung-Chun Yang ⋮ Meromorphic functions of uniqueness ⋮ On uniqueness problem over non-Archimedean field in the light of four and five IM shared sets ⋮ Value-sharing and uniqueness problems for non-Archimedean differential polynomials in several variables ⋮ Meromorphic solutions of equations over non-Archimedean fields ⋮ Functional equations in a \(p\)-adic context ⋮ On the extended class of SUPM and their generating URSM over non-Archimedean field

Cites Work

• Urs, ursim, and non-urs for \(p\)-adic functions and polynomials
• Non-Archimedean analytic curves in Abelian varieties
• On uniqueness of \(p\)-adic entire functions
• Applications of the \(p\)-adic Nevanlinna theory to functional equations.
• On uniqueness of meromorphic functions sharing finite sets
• URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC
• Uniqueness of non-Archimedean entire functions sharing sets of values counting multiplicity
• Unique range sets and uniqueness polynomials in positive characteristic
• Uniqueness polynomials and bi-unique range sets for rational functions and non-Archimedean meromorphic functions
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