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arXiv:math/0312180 [math.NT]AbstractReferencesReviewsResources

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

Aleksandar Ivić

Published 2003-12-09, updated 2004-10-14Version 2

The Laplace transform of $|\zeta(1/2+it)|$ 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.

Comments: 8 pages
Journal: Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 11(2000), 41-48
Categories: math.NT
Subjects: 11M06, 11F72, 11F66
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