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

Ishizaki, Katsuya; Wen, Zhi-Tao

doi:10.1090/proc/15703

Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem
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Proc. Amer. Math. Soc. 150 (2022), 731-745 Request permission

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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