This article is cited in 1 paper

Hankel Determinants of Zeta Values

Alan Haynes^a, Wadim Zudilin<sup>b

a</sup> Department of Mathematics, University of York, York, YO10 5DD, UK
^b School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan NSW 2308, Australia

Abstract: 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.

Keywords: irrationality; Hankel determinant; zeta value.

MSC: 11J72; 11C20; 11M06; 41A60

Received: October 19, 2015; in final form December 16, 2015; Published online December 17, 2015

Language: English

DOI: 10.3842/SIGMA.2015.101

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ArXiv: 1510.01901