English

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

Number Theory 2007-05-23 v2

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'.

Keywords

Cite

@article{arxiv.math/0103058,
  title  = {A lower bound in an approximation problem involving the zeros of the Riemann zeta function},
  author = {Jean-Francois Burnol},
  journal= {arXiv preprint arXiv:math/0103058},
  year   = {2007}
}

Comments

17 pages, v2 adds two references. No mathematical changes