# RMA

## Seminar

### Zeros of random polynomials \& linear combinations of random characteristic polynomials

Seminar Room 1, Newton Institute

#### Abstract

In this talk, we shall give results about the asymptotic behavior of roots of random polynomials in the plane. We then specialize to the case of sums of characteristic polynomials of random unitary matrices: we prove an analogue of a result by Bombieri and Hejhal about the zeros on the critical line for linear combination of L-functions.