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Hankel determinants of Dirichlet series

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arxiv 0901.1883 v1 pith:PZLHDBIT submitted 2009-01-14 math.NT math.PR

H. Monien This is my paper · ORCID
classification math.NTmath.PR
keywords hankelcasederivedeterminantsdirichletdiscreteintegralseries
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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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  1. Superstring Amplitudes, Unitarity, and Hankel Determinants of Multiple Zeta Values

    hep-th 2019-08 conditional novelty 6.0 of 10

    Unitarity of four-particle superstring tree amplitudes implies that Hankel matrices built from low-energy coefficients are totally positive, yielding new inequalities involving multiple zeta values, including irreduci...

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