2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210043Baez-Duarte reformulated the Riemann hypothesis as a statement about a Hilbert space distance, involving the integer dilations of the "fractional part" function. Under the assumption of the Riemann hypothesis, we improve on the currently known estimate for this distance.A paraître dans International Journal of Number TheoryNumber Theory11M26text