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arXiv:math/0103058 [math.NT]AbstractReferencesReviewsResources

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

Jean-Francois Burnol

Published 2001-03-08, updated 2001-03-20Version 2

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'.

Comments: 17 pages, v2 adds two references. No mathematical changes
Journal: Adv. Math. 170 (2002), no 1, 56--70
Categories: math.NT
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