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arXiv:1106.1160 [math.NT]AbstractReferencesReviewsResources

A note on a conjecture of Gonek

Micah B. Milinovich, Nathan Ng

Published 2011-06-06Version 1

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.

Comments: 10 pages, to appear in Funct. Approx. Comment. Math
Categories: math.NT
Subjects: 11M06, 11M26
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