Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros

Details Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros

2007-10-20

arxiv.org/abs/0710.3822v1

Mathematics

Number Theory

3 pages

Scientific paper

In this note, we give some explicit upper and lower bounds for the summation
$\sum_{0<\gamma\leq T}\frac{1}{\gamma}$, where $\gamma$ is the imaginary part
of nontrivial zeros $\rho=\beta+i\gamma$ of $\zeta(s)$.

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