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Hankel determinants of zeta values. (English) Zbl 1387.11054
Summary: 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.

MSC:
11J72 Irrationality; linear independence over a field
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
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