2016 CMS Summer Meeting

University of Alberta, June 24 - 27, 2016

Contributed Papers

ROSTAM SABETI, Olivet College
1-variable Descartes' Rule of signs and ideal of symmetric polynomials  [PDF]

Given a sign pattern for the coefficients of an unknown polynomial $p(x)$ in $\mathbb{C}[x]$ of degree $n$ and consider the coefficients as symmetric polynomials in $\mathbb{C}[s_1,\cdots,s_n]$, we prove that at the rational roots of $p(x)$ proposed by Anderson, Jackson and Sitharam the rank of the associated symmetric system is either one or two.