Hankel determinants of Dirichlet series
Number Theory
2009-01-15 v1 Probability
Abstract
We derive a general expression for the Hankel determinants of a Dirichlet series F(s) and derive the asymptotic behavior for the special case that F(s) is the Riemann zeta function. In this case the Hankel determinant is a discrete analogue of the Selberg integral and can be viewed as a matrix integral with discrete measure. We briefly comment on its relation to Plancherel measures.
Keywords
Cite
@article{arxiv.0901.1883,
title = {Hankel determinants of Dirichlet series},
author = {H. Monien},
journal= {arXiv preprint arXiv:0901.1883},
year = {2009}
}
Comments
11 pages, 1 figure