Abstract
We derive a lower bound for a second moment of the reciprocal of the derivative of the Riemann zeta-function over the zeros of $\zeta(s)$ that is half the size of the conjectured value. Our result is conditional upon the assumption of the Riemann Hypothesis and the conjecture that the zeros of the zeta-function are simple.
Citation
Micah B. Milinovich. Nathan Ng. "A note on a conjecture of Gonek." Funct. Approx. Comment. Math. 46 (2) 177 - 187, June 2012. https://doi.org/10.7169/facm/2012.46.2.3
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