4 The Moments of the Riemann Zeta - Function . Part I : The fourth moment off the critical line
نویسنده
چکیده
In this paper, the first part of a larger work, we prove the spectral decomposition of ∫ ∞ −∞ |ζ(σ + it)|g(t) dt ( 12 < σ < 1 fixed), where g(t) is a suitable weight function of fast decay. This is used to obtain estimates and omega results for the function
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On the Occurrence of the Sine Kernel in Connection with the Shifted Moments of the Riemann Zeta Function
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