The Laplace transform of the fourth moment of the zeta-function

2003/12/31 by Aleksandar Ivić
Mathematics · #math.NT #msc:11M06 #msc:11F72 #msc:11F66

paper · pdf

published as Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 11(2000), 41-48 · 8 pages

arxiv created 2004/10/14 · arxiv updated 2009/12/01

Abstract

The Laplace transform of |ζ(1/2+it)| is investigated, for which a precise expression is obtained, valid in a certain region in the complex plane. The method of proof is based on complex integration and spectral theory of the non-Euclidean Laplacian.

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