paper

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

arXiv:math/0103058 · doi:10.1006/aima.2001.2066

Abstract

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

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