Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem
Classical Analysis and ODEs
2021-01-15 v1 Complex Variables
Number Theory
Abstract
In this paper, we study the shifting zeros with its heights and an analogue to difference radical. We focus on the Stothers-Mason theorem by using falling factorials. As applications, we discuss the difference version of the Fermat type functional equations. Some examples are given.
Keywords
Cite
@article{arxiv.2101.05743,
title = {Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem},
author = {Katsuya Ishizaki and Zhi-Tao Wen},
journal= {arXiv preprint arXiv:2101.05743},
year = {2021}
}