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

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

2001-03-08

arxiv.org/abs/math/0103058v2

Adv. Math. 170 (2002), no 1, 56--70

Mathematics

Number Theory

17 pages, v2 adds two references. No mathematical changes

Scientific paper

10.1006/aima.2001.2066

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'.

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