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On the estimation of some Mellin transforms connected with the fourth moment of |ζ(1/2+it)|

Aleksandar Ivić

math.NTarXiv:math/0404524

Abstract

Mean square estimates for Z2(s) = ∫1∞ |ζ(1/2+ix)|4x-sdx ( s > 1) are discussed, and some related Mellin transforms of quantities connected with the fourth power moment of |ζ(1/2+ix)|4.

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