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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69523The 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.8 pagesNumber Theory11M06; 11F72; 11F66The Laplace transform of the fourth moment of the zeta-functiontext