Christopher J. Hillar

most citedPolynomial recurrences and cyclic resultants

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing math.AGShow all

2 papers · 1 filter

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.AG2003

Logarithmic Derivatives of Solutions to Linear Differential Equations

Christopher J. Hillar

Given an ordinary differential field $K$ of characteristic zero, it is known that if $y$ and $1/ y$ satisfy linear differential equations with coefficients in $K$ , then $y^{'} / y$ is al…