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

Jean-Francois Burnol

doi:10.1006/aima.2001.2066

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

Jean-Francois Burnol

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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'.

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Jean-Francois Burnol. 2001-03-20. A lower bound in an approximation problem involving the zeros of the Riemann zeta function. https://doi.org/10.1006/aima.2001.2066

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