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Pair correlation of zeros of the Riemann zeta-function and prime numbers III

Presented by: 
DA Goldston [San Jose State]
Date: 
Thursday 1st April 2004 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Session Title: 
Recent Perspectives in Random Matrix Theory and Number Theory
Abstract: 

The first lecture will cover Montgomery's 1973 paper where the pair correlation and GUE conjecture were first made, together with some applications. The second and third lecture will cover the connections between zeros and prime numbers, and include further methods for examining the distribution of primes. The fourth lecture will give a brief introduction to Selberg's theory of the distribution of values of log (zeta) and S(t).

Related Links

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