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The Mean Values of the Riemann Zeta-Function on the Critical Line

In: Analytic Number Theory, Approximation Theory, and Special Functions

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  • Aleksandar Ivić

    (Universitet u Beogradu, Katedra Matematike, Rudarsko-geološki Fakultet)

Abstract

In this overview we give a detailed discussion of power moments of ζ(s), when s lies on the “critical line” $$\mathrm{Re} s = \tfrac{1} {2}$$ . The survey includes early results, the mean square and mean fourth power, higher moments, conditional results and some open problems.

Suggested Citation

  • Aleksandar Ivić, 2014. "The Mean Values of the Riemann Zeta-Function on the Critical Line," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 3-68, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-0258-3_1
    DOI: 10.1007/978-1-4939-0258-3_1
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