The fourth moment of the zeta-function

2003/12/05 by Aleksandar Ivić
Mathematics · #math.NT #msc:11M06

paper · pdf

published as Proc. 10th Congress of Yugoslav Mathematicians (Belgrade 21-24.01.2001), University of Belgrade, 2001, pp. 73-82 · 12 pages

arxiv created 2003/12/05 · arxiv updated 2009/12/01

Abstract

An overview of results and problems concerning the asymptotic formula for ∫₀^T|ζ(1/2+it)|⁴dt is given, together with a discussion of modern methods from spectral theory used in recent work on this subject.

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