2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223546We present a conjecture about the asymptotic representation of certain series. The conjecture implies the Riemann hypothesis and it would also indicate the simplicity of the non-trivial zeros of the zeta-function.Please address all correspondence to Professor Aslam Chaudhry, maslam@kfupm.edu.saNumber Theory11M06, 11M26, 11M36, 11M99text