The mean values of the Riemann zeta-function on the critical line

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Abstract

In this overview we give a detailed discussion of power moments of ζ(s), when s lies on the critical line. The survey includes early results, the mean square and mean fourth power, higher moments, conditional results and some open problems.

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Ivić, A. (2014). The mean values of the Riemann zeta-function on the critical line. In Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava (Vol. 9781493902583, pp. 3–68). Springer New York. https://doi.org/10.1007/978-1-4939-0258-3_1

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