# A general strong Nyman-Beurling criterion for the Riemann hypothesis

@article{BezDuarte2005AGS,
title={A general strong Nyman-Beurling criterion for the Riemann hypothesis},
author={Luis B{\'a}ez-Duarte},
journal={Publications De L'institut Mathematique},
year={2005},
volume={78},
pages={117-125}
}
• L. Báez-Duarte
• Published 22 May 2005
• Mathematics
• Publications De L'institut Mathematique
For each [FORMULA] formally consider its Miintz transform [FORMULA]. For certain ƒ's with both [FORMULA] it is true that the Riemann hypothesis holds if and only if ƒ is in the L2 closure of the vector space generated by the dilations [FORMULA]. Such is the case for example when ƒ = X(0,1) where the above statement reduces to the strong Nyman criterion already established by the author. In this note we show that the necessity implication holds for any continuously differentiable function…
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