Solutions to difference equations have few defects
Number Theory
2021-11-30 v2 Complex Variables
Abstract
We demonstrate a strong form of Nevanlinna's Second Main Theorem for solutions to difference equations f(z+1)=R(z, f(z)), with the coefficients of R growing slowly relative to f, and R of degree at least 2 in the second coordinate.
Cite
@article{arxiv.2011.02975,
title = {Solutions to difference equations have few defects},
author = {Patrick Ingram},
journal= {arXiv preprint arXiv:2011.02975},
year = {2021}
}