A Lower Bound in an Approximation Problem Involving the Zeros of the Riemann Zeta Function |
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| Authors: | Jean-François Burnol |
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| Institution: | Université de Nice - Sophia Antipolis, Laboratoire J.-A. Dieudonné, Parc Valrose, F-06108, Nice Cedex 02, Francef1burnol@math.unice.frf1 |
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| Abstract: | We slightly improve the lower bound of Báez-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-Pólya idea”. |
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| Keywords: | Riemann zeta function Nyman-Beurling criterion Hilbert-Pó lya idea |
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