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<h1 align=center> A mollification problem
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Baez-Duarte [
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<a href="http://www.arxiv.org/abs/math/0202141">arXiv:math.NT/0202141</a>
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has recently proven that the Riemann Hypothesis is equivalent to the assertion that
$$\inf_{A_N(s)}\int_{-\infty}^\infty |1-A_N(1/2+it)\zeta(1/2+it|^2)~\frac {dt}{\frac 14 +t^2}$$
tends to 0 as $N\to \infty$ where $A_N(s)$ can be any Dirichlet polynomial of length $N$:
$$A_N(s)=\sum_{n=1}^N \frac {a_n}{n^s}.$$

Previously, Baez-Duarte, Balazard, Landreaux, and Saias 
had noted that as a consequence of the Nyman-Beurling criterion,  the above assertion implies RH. \begin{rawhtml}
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Back to the 
<a href="http://www.aimath.org/WWN/rh/"> main index</a> 
for The Riemann Hypothesis.
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