Hankel determinants of Dirichlet series

H. Monien

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arXiv · 0901.1883

Hankel determinants of Dirichlet series

H. Monien

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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.

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H. Monien. 2009-01-14. Hankel determinants of Dirichlet series. https://arxiv.org/abs/0901.1883

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