New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's zeta function

Authors: Coram M.; Diaconis P.

Source: Journal of Physics A: Mathematical and General, Volume 36, Number 12, 2003 , pp. 2883-2906(24)

Publisher: Institute of Physics Publishing

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Abstract:

This paper presents some new statistical tests and new conjectures regarding the correspondence between the eigenvalues of random unitary matrices and the zeros of Riemann's zeta function. Global features such as the trace and number of eigenvalues in intervals are compared. Our results show satisfying match-ups between the two domains. They give examples of large natural datasets that follow classical distributions to high accuracy.

Language: English

Document Type: Miscellaneous

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