A lower bound in an approximation problem involving the zeros of the Riemann zeta function

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99215We slightly improve the lower bound of Baez-Duarte, Balazard, Landreau and Saias in the Nyman-Beurling formulation of the Riemann Hypothesis as an approximation problem. We construct Hilbert space vectors which could prove useful in the context of the so-called `Hilbert-Polya idea'.17 pages, v2 adds two references. No mathematical changesNumber TheoryA lower bound in an approximation problem involving the zeros of the Riemann zeta functiontext