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paper

Hankel Determinants of Zeta Values

arXiv:1510.01901 · doi:10.3842/SIGMA.2015.101

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.