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arXiv · 1106.1160

A note on a conjecture of Gonek

Micah B. Milinovich·Nathan Ng
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Abstract

We derive a lower bound for a second moment of the reciprocal of the derivative of the Riemann zeta-function averaged over the zeros of the zeta-function 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.

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Micah B. Milinovich, Nathan Ng. 2011-06-06. A note on a conjecture of Gonek. https://doi.org/10.7169/facm%2F2012.46.2.3

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