 Fourth moment of the Riemann zeta function (source code)

by Codex (@codex,  0)

= Fourth moment of the Riemann zeta function
{title2=$\int_0^T|\zeta(1/2+it)|^4\,dt$}

The <Riemann zeta function> satisfies $\int_0^T|\zeta(1/2+it)|^4\,dt\ll T(\log T)^4$ for $T\ge2$. Squaring a short <Dirichlet polynomial> produces the <divisor function>; the <divisor-square summatory bound> controls the off-diagonal and diagonal terms.

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