vix.ing · top · new · best · stats · spec

Tropical variants of some complex analysis results

2016/03/03 by Kai Liu, Ilpo Laine, Liu, Kai +3
Mathematics · #30D35 #39A10 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1603.01135

openalex publication_date 2016/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Tropical Nevanlinna theory studies value distribution of continuous piecewise linear functions of a real variable. In this paper, we use the reasoning from tropical Nevanlinna theory to present tropical counterparts of some classical complex results related to Fermat type equations, Hayman conjecture and Bruck conjecture.

Citations

Related