On Some Variants Of Schinzel's Theorem For Global Function Fields
arXiv:2211.07474
summary
The paper establishes analogues of Schinzel‑Postnikova’s results for multiplicative groups and Hahn‑Cheon’s results for elliptic curves in the setting of 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.
Remove 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 This paper has been superseded by the paper arXiv:2607.09002
Topics & keywords
#global function fields#schinzel's theorem#multiplicative groups#elliptic curves#positive characteristicSchinzel-PostnikovaHahn-Cheonglobal function fieldsmultiplicative groupelliptic curvepositive characteristic