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

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

2004-04-29

arxiv.org/abs/math/0404524v1

Elementare und Analytische Zahlentheorie (Tagungsband), Proceedings ELAZ-Conference May 24-28, 2004 (W. Schwarz and J. Steudin

Mathematics

Number Theory

14 pages

Scientific paper

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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