English

Tropical Nevanlinna theory and second main theorem

Complex Variables 2014-02-26 v1 Algebraic Geometry

Abstract

We present a version of the tropical Nevanlinna theory for real-valued, continuous, piecewise linear functions on the real line. In particular, a tropical version of the second main theorem is proved. Applications to some ultra-discrete equations are given.

Keywords

Cite

@article{arxiv.0910.5300,
  title  = {Tropical Nevanlinna theory and second main theorem},
  author = {Ilpo Laine and Kazuya Tohge},
  journal= {arXiv preprint arXiv:0910.5300},
  year   = {2014}
}

Comments

43 pages, 3 figures

R2 v1 2026-06-21T14:04:12.731Z