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arXiv · 0710.3822

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

Soheila Emamyari·Mehdi Hassani
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Abstract

In this note, we give some explicit upper and lower bounds for the summation $\sum_{0<γ\leq T}\frac{1}γ$, where $γ$ is the imaginary part of nontrivial zeros $ρ=β+iγ$ of $ζ(s)$.

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Soheila Emamyari, Mehdi Hassani. 2007-10-20. Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros. https://arxiv.org/abs/0710.3822

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