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arxiv: math/0312117 · v1 · submitted 2003-12-05 · 🧮 math.NT

The fourth moment of the zeta-function

classification 🧮 math.NT
keywords asymptoticconcerningdiscussionformulafourthgivenmethodsmodern
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An overview of results and problems concerning the asymptotic formula for $\int_0^T|\zeta(1/2+it)|^4dt$ is given, together with a discussion of modern methods from spectral theory used in recent work on this subject.

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