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arXiv · 1510.01901

Hankel Determinants of Zeta Values

Alan Haynes·Wadim Zudilin
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Abstract

We study the asymptotics of Hankel determinants constructed using the values $ζ(an+b)$ 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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Alan Haynes, Wadim Zudilin. 2015-12-17. Hankel Determinants of Zeta Values. https://doi.org/10.3842/sigma.2015.101

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