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Roots of the Derivative of Riemann's Zeta Function and of Characteristic Polynomials
by
Eduardo Duenez
University of Texas at San Antonio
Coauthors: D. Farmer, S. Froehlich, C. P. Hughes, F. Mezzadri and T. Phan
We compute the radial distribution of those zeros of derivatives of characteristic polynomials of random unitary matrices lying close to the unit circle, confirming a refined version of an earlier conjecture of Mezzadri. Assuming GUE (unitary) statistics for the zeros of Zeta, we also compute the corresponding horizontal distribution of zeros of Zeta prime lying close to the critical line.
Date received: June 13, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-93.