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Math department colloquium talk: Tuesday 11/26/02 4:00-5:00 PM in Hylan 1106A: Mike Rubenstein, AIM: L-functions and the Polya-Hilbert Philosophy ABSTRACT: In 1972, it was discovered that the Riemann Zeta function behaves statistically like the characteristic polynomial of a large unitary matrix. Since then, various matrix models have been used with stunning success to make hitherto unimaginable predictions concerning the zeros and values of L-functions. These results, which I will discuss, confirm the Polya Hilbert Philosophy- that the Riemann Hypothesis is true because the zeros of the Riemann Zeta function somehow correspond to the eigenvalues of a unitary operator. |