Geodesic
Hankel Determinants of Zeta Values
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2015_11_a100,
     author = {Alan Haynes and Wadim Zudilin},
     title = {Hankel {Determinants} of {Zeta} {Values}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2015},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a100/}
}
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Alan Haynes; Wadim Zudilin. Hankel Determinants of Zeta Values. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a100/

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