HP Labs Technical Reports

Periodic Orbits, Spectral Statistics and the Riemann Zeros

Keating, Johnathan P.

HPL-BRIMS-98-06

Keyword(s): semiclassical approximation; quantum chaos; spectral statistics; the Riemann zeros

Abstract: I review recent developments in the semiclassical theory of spectral statistics based on the trace formula. Applications to the pair-correlation of the Riemann zeros are also discussed.

15 Pages

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