A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Polynomial recurrences and cyclic resultants

2006
*
Proceedings of the American Mathematical Society
*

Let K be an algebraically closed field of characteristic zero and let f ∈ K [x]. The m-th cyclic resultant of f is A generic monic polynomial is determined by its full sequence of cyclic resultants; however, the known techniques proving this result give no effective computational bounds. We prove that a generic monic polynomial of degree d is determined by its first 2 d+1 cyclic resultants and that a generic monic reciprocal polynomial of even degree d is determined by its first 2 · 3 d/2 of

doi:10.1090/s0002-9939-06-08672-2
fatcat:navbx5cxjfemddbjeq4zd3wfsq