A note on a conjecture of Gonek

Details A note on a conjecture of Gonek A note on a conjecture of Gonek

2011-06-06

arxiv.org/abs/1106.1160v1

Mathematics

Number Theory

10 pages, to appear in Funct. Approx. Comment. Math

Scientific paper

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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