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

Thursday 15th July 2004 - 12:00 to 12:30
INI Seminar Room 1
Session Title: 
Matrix Ensembles and L-Functions

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.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons