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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 101, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.101 (Mi sigma1082) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Hankel Determinants of Zeta Values

Alan Haynesa, Wadim Zudilinb

a 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
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DOI: https://doi.org/10.3842/SIGMA.2015.101
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.
Funding agency Grant number
Engineering and Physical Sciences Research Council EP/L001462
EP/J00149X
EP/M023540
Australian Research Council DP170100466
Research of first author (Alan Haynes) was supported by EPSRC grants EP/L001462, EP/J00149X, EP/M023540. Research of second author (Wadim Zudilin) was supported by Australian Research Council grant DP170100466.
Received: October 19, 2015; in final form December 16, 2015; Published online December 17, 2015
Bibliographic databases:
Document Type: Article
MSC: 11J72; 11C20; 11M06; 41A60
Language: English
Citation: Alan Haynes, Wadim Zudilin, “Hankel Determinants of Zeta Values”, SIGMA, 11 (2015), 101, 5 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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