2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125843The Riemann Hypothesis is a conjecture made in 1859 by the great mathematician Riemann that all the complex zeros of the zeta function $ζ(s)$ lie on the `critical line' ${Rl} s= 1/2$. Our analysis shows that the assumption of the truth of the Riemann Hypothesis leads to a contradiction. We are therefore led to the conclusion that the Riemann Hypothesis is not true.Typos corrected, abstract revised. Comments welcomeNumber TheoryComplex Variablestext