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

Abstract

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.

8 pages

Cited by in corpus (1)

• The fourth moment of the zeta-function