Decoupling for perturbed cones and mean square of $|ζ(\frac 12+it)|$

preprint2015arXivOpen access

An improved estimate is obtained for the mean square of the modulus of the zeta function on the critical line. It is based on the decoupling techniques in harmonic analysis developed in [B-D]

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Decoupling for perturbed cones and mean square of $|ζ(\frac 12+it)|$

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Decoupling for perturbed cones and mean square of ∣ζ(12+it)∣|ζ(\frac 12+it)|∣ζ(21​+it)∣

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Decoupling for perturbed cones and mean square of $|ζ(\frac 12+it)|$