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arXiv · 1811.08930

On the Bound of Inverse Images of a Polynomial Map

Ilya Vyugin
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Abstract

Let $f_1(x),\ldots,f_n(x)$ be some polynomials. The upper bound on the number of $x\in\mathbb F_p$ such that $f_1(x),\ldots,f_n(x)$ are roots of unit of order $t$ is obtained. This bound generalize the bound of the paper \cite{V-S} to the case of polynomials of degrees greater than one. The bound is obtained over fields of positive characteristic and over the complex field.

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Ilya Vyugin. 2018-11-21. On the Bound of Inverse Images of a Polynomial Map. https://arxiv.org/abs/1811.08930

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