English

Tropical variants of some complex analysis results

Algebraic Geometry 2016-04-05 v2 Complex Variables

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.

Keywords

Cite

@article{arxiv.1603.01135,
  title  = {Tropical variants of some complex analysis results},
  author = {Kai Liu and Ilpo Laine and Kazuya Tohge},
  journal= {arXiv preprint arXiv:1603.01135},
  year   = {2016}
}

Comments

24 pages, 6 figures