Hugh Montgomery

Hugh Montgomery is an American mathematician known for his work on the pair correlation of zeros of the Riemann zeta function.

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Hugh Montgomery is an American mathematician who works in analytic number theory and served as a professor at the University of Michigan.

He is widely known for the pair correlation conjecture on the spacing between zeros of the Riemann zeta function. The conjecture led to the observation that the statistics of these spacings resemble those of eigenvalues of random matrices.

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The two-thirds figure goes back to Hugh Montgomery in 1973.


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