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SUMMARY:Averages of Characteristic Polynomials from Classical Groups and L
 -functions - Alexander Gamburd (The Graduate Center\, CUNY)
DTSTART:20180612T133000Z
DTEND:20180612T143000Z
UID:TALK106288@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Following a celebrated conjecture of Keating and Snaith\, expr
 essing elusive moments of the Riemann zeta function on the critical line i
 n terms of moments of characteristic polynomials of Haar-distributed matri
 ces in U(N)\, much work has been devoted to computing the averages of prod
 ucts and ratios of characteristic polynomials of random matrices from clas
 sical groups.  We will present an elementary and self-contained approach t
 o this problem\, using classical results due to Weyl and Littlewood\, and 
 will discuss some (provable) arithmetic applications.
LOCATION:MR11
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