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Logarithmic integrals

\end{rawhtml} V. V. Volchkov [ \begin{rawhtml} MR 96g:11111 \end{rawhtml}] has recently proved that the truth of the Riemann hypothesis is equivalent to the equality \int_0^\infty \int_{1/2}^\infty \frac{1-12y^2}{)1+4 y^2)^3}\log(|\zeta(x+iy)|)~dx ~dy =\pi\frac{3-\gamma}{32}$$\begin{rawhtml}




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