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

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

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 3-68 from Springer

Abstract: 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.

Keywords: Omega Results; Kloosterman Sums; Zeta-function Theory; Conjectural Formula; Conrey (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_1

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DOI: 10.1007/978-1-4939-0258-3_1

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