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Pair correlation of the zeros of the derivative of the Riemann <i>ΞΎ</i> -function

Pair correlation of the zeros of the derivative of the Riemann <i>ΞΎ</i> -function

The complex zeros of the Riemannn zeta-function are identical to the zeros of the Riemann ΞΎ-function, ΞΎ ( s ) . Thus, if the Riemann hypothesis (RH) is true for the zeta-function, then it is true for ΞΎ ( s ) . Since ΞΎ ( s ) is entire, the …