# Lab Lunch Talk: Roots of Littlewood Polynomials

Speaker: Kyriakos Kalorkoti

**Abstract:**

If we consider the distribution of roots of polynomials with arbitrary complex number coefficients of a given degree n there is little to say since any set of n complex numbers can act as the roots. However the case of polynomials with restricted coefficients is very different. I will discuss briefly the algorithmic motivation for studying this situation and focus on the roots of Littlewood polynomials (i.e., polynomials whose coefficients are +1 or -1) around the point 1 on the real axis. This is current research with some aspects still open.