A lower bound in an approximation problem involving the zeros of the Riemann zeta function
Abstract
Description
We 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 changes
17 pages, v2 adds two references. No mathematical changes