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

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

2003-12-09

arxiv.org/abs/math/0312180v2

Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. 11(2000), 41-48

Mathematics

Number Theory

8 pages

Scientific paper

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.

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