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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140445In 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 $ζ(s)$.3 pagesNumber TheoryGeneral Mathematics11S40Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zerostext