Details:
Title  Cyclic resultants  Author(s)  Christopher Hillar  Type  Article in Journal  Abstract  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 polynomials with the same set of cyclic resultants as f . However, in the generic monic case, degree d polynomials are uniquely determined by their cyclic resultants. Moreover, two reciprocal (“palindromic”) polynomials giving rise to the same set of nonzero cyclic resultants are equal. In the process, we also prove a unique factorization result in semigroup algebras involving products of binomials. Finally, we discuss how our results yield algorithms for explicit reconstruction of polynomials from their cyclic resultants.  Keywords  Cyclic resultant, Binomial factorization, Group rings, Toral endomorphisms  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717105000374 
Language  English  Journal  Journal of Symbolic Computation  Volume  39  Number  6  Pages  653  669  Year  2005  Edition  0  Translation 
No  Refereed 
No 
