2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154360Assuming the Riemann Hypothesis we obtain an upper bound for the moments of the Riemann zeta-function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in families of $L$-functions.11 pages; Version 2 has some significant changes in the expositionNumber Theorytext