On Some Variants Of Schinzel's Theorem For Global Function Fields

Abstract

In this paper, we obtain global function field versions of the results of Schinzel-Postnikova for multiplicative groups, and of Hahn-Cheon for elliptic curves, which is an analog of the former result.

arXiv commentRemove some parts of the paper due to the failure of Roth's theorem in positive characteristics. This paper has been superseded by the paper arXiv:2607.09002