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A note on a conjecture of Gonek (1106.1160v1)

Published 6 Jun 2011 in math.NT

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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