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- W1657961290 abstract "We present a conjecture describing new long range correlations among the Riemann zeros leading to 3 principal features: (i) The spectral auto-correlation is invariant w.r.t. the averaging window. (ii) Resurgence occurs wherein the lowest zeros appear in all auto-correlations. (iii) Suitably defined correlations lead to predictions (prophecy) of new zeros. This conjecture is supported by analytical arguments and confirmed by numerical calculations using 10^{22} zeros computed by Odlyzko. The results lead to a self-duality of the Riemann spectrum similar to the quantum-classical duality observed in billiards." @default.
- W1657961290 created "2016-06-24" @default.
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- W1657961290 date "2004-01-01" @default.
- W1657961290 modified "2023-09-27" @default.
- W1657961290 title "Correlations among the Riemann zeros: Invariance, resurgence, prophecy and self-duality." @default.
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