Hankel determinants of Dirichlet series

Details Hankel determinants of Dirichlet series Hankel determinants of Dirichlet series

2009-01-14

arxiv.org/abs/0901.1883v1

Mathematics

Number Theory

11 pages, 1 figure

Scientific paper

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.

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