Haynes, Alan; Zudilin, Wadim Hankel determinants of zeta values. (English) Zbl 1387.11054 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 101, 5 p. (2015). 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. Cited in 3 Documents MSC: 11J72 Irrationality; linear independence over a field 11M06 \(\zeta (s)\) and \(L(s, \chi)\) 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) Keywords:irrationality; Hankel determinant; zeta value PDF BibTeX XML Cite \textit{A. Haynes} and \textit{W. Zudilin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 101, 5 p. (2015; Zbl 1387.11054) Full Text: DOI arXiv EMIS OpenURL