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Averages of Characteristic Polynomials from Classical Groups and L-functions

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  • UserAlexander Gamburd (The Graduate Center, CUNY)
  • ClockTuesday 12 June 2018, 14:30-15:30
  • HouseMR11.

If you have a question about this talk, please contact Jack Thorne.

Following a celebrated conjecture of Keating and Snaith, expressing elusive moments of the Riemann zeta function on the critical line in terms of moments of characteristic polynomials of Haar-distributed matrices in U(N), much work has been devoted to computing the averages of products and ratios of characteristic polynomials of random matrices from classical groups. We will present an elementary and self-contained approach to this problem, using classical results due to Weyl and Littlewood, and will discuss some (provable) arithmetic applications.

This talk is part of the Number Theory Seminar series.

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