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

Aleksandar Ivić
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Abstract

Mean square estimates for $Z_2(s) = \int_1^\infty |ζ(1/2+ix)|^4x^{-s}dx (\Re s > 1)$ 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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Aleksandar Ivić. 2004-04-29. On the estimation of some Mellin transforms connected with the fourth moment of $|ζ(1/2+it)|$. https://arxiv.org/abs/math/0404524

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