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

Aleksandar Ivi\'c

arxiv: math/0404524 · v1 · submitted 2004-04-29 · 🧮 math.NT

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

Aleksandar Ivi\'c This is my paper

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keywords zetaconnectedfourthmellinmomentsometransformsdiscussed

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Mean square estimates for $Z_2(s) = \int_1^\infty |\zeta(1/2+ix)|^4x^{-s}dx (\Re s > 1)$ are discussed, and some related Mellin transforms of quantities connected with the fourth power moment of $|\zeta(1/2+ix)|^4$.

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

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