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arxiv: 1505.04161 · v1 · pith:X4IL5UDAnew · submitted 2015-05-15 · 🧮 math.NT

Decoupling for perturbed cones and mean square of |zeta(frac 12+it)|

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keywords decouplingmeansquarezetaanalysisconescriticaldeveloped
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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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