On some conjectures and results for the Riemann zeta-function and Hecke series

Aleksandar Ivic

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arXiv · math/0311302

On some conjectures and results for the Riemann zeta-function and Hecke series

Aleksandar Ivic

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Abstract

Some results and conjectures on $Z_2(s) = \int_1^\infty |ζ(1/2+ix)|^4x^{-s}dx (\Re s > 1)$ are presented. Consequences of these conjectures regarding the eighth moment of $|ζ(1/2+it)$ and the error term in the fourth moment of $|ζ(1/2+it)$ are discussed.

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Aleksandar Ivic. 2003-11-18. On some conjectures and results for the Riemann zeta-function and Hecke series. https://arxiv.org/abs/math/0311302

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