Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem

2021/01/13 by Ishizaki, Katsuya, Wen, Zhi-Tao
#30D35 #39B10 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2101.05743

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.

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