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arXiv · 1709.06732

The Hermite-Joubert problem and a conjecture of Brassil-Reichstein

Khoa Dang Nguyen
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Abstract

We show that Hermite theorem fails for every integer $n$ of the form $3^{k_1}+3^{k_2}+3^{k_3}$ with integers $k_1>k_2>k_3\geq 0$. This confirms a conjecture of Brassil and Reichstein. We also obtain new results for the relative Hermite-Joubert problem over a finitely generated field of characteristic $0$.

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Khoa Dang Nguyen. 2017-09-20. The Hermite-Joubert problem and a conjecture of Brassil-Reichstein. https://arxiv.org/abs/1709.06732

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