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Hankel Determinants of Zeta Values
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Haynes, A. | |
| dc.contributor.author | Zudilin, W. | |
| dc.date.accessioned | 2019-02-13T17:27:36Z | |
| dc.date.available | 2019-02-13T17:27:36Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Hankel 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.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 11J72; 11C20; 11M06; 41A60 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.101 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147145 | |
| dc.description.abstract | We 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.sponsorship | This 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Hankel Determinants of Zeta Values | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
