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Hankel Determinants of Zeta Values

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arxiv 1510.01901 v3 pith:E3TQAAYI submitted 2015-10-07 math.NT math.CA

Alan Haynes , Wadim Zudilin This is my paper · ORCID
classification math.NTmath.CA
keywords zetaasymptoticsdeterminantshankelvaluesapplicationarithmeticconstructed
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abstract

We study the asymptotics of Hankel determinants constructed using the values $\zeta(an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.

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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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