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<h1 align=center> M. Riesz series
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M. Riesz (Sur l'hypoth\`{e}se de Riemann, Acta Math. 40 (1916), 185-190)
proved that the Riemann Hypothesis is equivalent to the assertion that
$$\sum_{k=1}^\infty \frac{(-1)^{k+1}x^k}{(k-1)!\zeta(2k)}\ll x^{1/2+\epsilon}$$
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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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