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

Aleksandar Ivić

Type: Article

Publication Date: 2001-01-01

Citations: 32

DOI: https://doi.org/10.4064/aa99-2-2

Abstract

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

Locations

Acta Arithmetica - View - PDF
arXiv (Cornell University) - View - PDF

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