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Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros

Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros

Odlyzko has computed a dataset listing more than 10 9 successive Riemann zeros, starting from a zero number to beyond 10 23 . This dataset relates to random matrix theory as, according to the Montgomery–Odlyzko law, the statistical properties of the large Riemann zeros agree with the statistical properties of …