Hankel Determinants of Zeta Values

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dc.contributor.authorHaynes, A.
dc.contributor.authorZudilin, W.
dc.date.accessioned2019-02-13T17:27:36Z
dc.date.available2019-02-13T17:27:36Z
dc.date.issued2015
dc.description.abstractWe study the asymptotics of Hankel determinants constructed using the values ζ(an+b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. We would like to thank the anonymous referees for their healthy criticism on the earlier draft of the note. 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.uk_UA
dc.identifier.citationHankel Determinants of Zeta Values / A. Haynes, W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 11J72; 11C20; 11M06; 41A60
dc.identifier.otherDOI:10.3842/SIGMA.2015.101
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147145
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHankel Determinants of Zeta Valuesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік