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

Aleksandar Ivić

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

Number Theory 2007-05-23 v2

Authors: Aleksandar Ivić

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.

Keywords

riemann zeta function laplace transform fourth moment spectral theory non-euclidean laplacian

Cite

@article{arxiv.math/0312180,
  title  = {The Laplace transform of the fourth moment of the zeta-function},
  author = {Aleksandar Ivić},
  journal= {arXiv preprint arXiv:math/0312180},
  year   = {2007}
}

Comments

8 pages

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