C. Hillar

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20022005

most citedPolynomial recurrences and cyclic resultants

2 citations · 2 across the 8 of their papers we have counts for

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math.AG2004★ 2 cited

Polynomial recurrences and cyclic resultants

Christopher J. Hillar, Lionel Levine

Let $K$ be an algebraically closed field of characteristic zero and let $f \in K [x]$ . The $m$ -th {\it cyclic resultant} of $f$ is \[r_m = \text{Res}(f,x^m-1).\] A generic monic pol…

math.AC2004

Cyclic Resultants

Christopher J. Hillar

We characterize polynomials having the same set of nonzero cyclic resultants. Generically, for a polynomial $f$ of degree $d$ , there are exactly $2^{d - 1}$ distinct degree $d$ polyn…