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arXiv:1510.01901 [math.NT]AbstractReferencesReviewsResources

Hankel determinants of zeta values

Alan Haynes, Wadim Zudilin

Published 2015-10-07Version 1

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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