Abstract
Let $P$ be a non constant polynomial. For $n\geq 1$, the $n$-th cyclic resultant of $P$ is the resultant of $P$ and of $x^{n}-1$. C.Hillar has proven a general result giving conditions on two polynomials to have the same set of non zero cyclic resultants. In this note, we give an alternative elementary proof of C.Hillar’s theorem.
Citation
Jean-Paul Bézivin. "Sur les Résultants cycliques." Proc. Japan Acad. Ser. A Math. Sci. 83 (8) 157 - 160, August 2007. https://doi.org/10.3792/pjaa.83.157
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