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

Aleksandar Ivić

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

Aleksandar Ivić

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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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Aleksandar Ivić. 2004-10-14. The Laplace transform of the fourth moment of the zeta-function. https://arxiv.org/abs/math/0312180

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