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The complex zeros of the Riemannn zeta-function are identical to the zeros of the Riemann xi-function, ξ(s). Thus, if the Riemann Hypothesis is true for the zeta-function, it is true for ξ(s). Since ξ(s) is entire, the zeros of ξ ′ (s), its derivative, would then also satisfy a Riemann Hypothesis. We investigate the pair correlation function of the zeros of… (More)

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