Hankel Determinants of Zeta Values
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.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147145 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Hankel Determinants of Zeta Values / A. Haynes, W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147145 |
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Haynes, A. Zudilin, W. 2019-02-13T17:27:36Z 2019-02-13T17:27:36Z 2015 Hankel Determinants of Zeta Values / A. Haynes, W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 11J72; 11C20; 11M06; 41A60 DOI:10.3842/SIGMA.2015.101 https://nasplib.isofts.kiev.ua/handle/123456789/147145 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Hankel Determinants of Zeta Values Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Hankel Determinants of Zeta Values |
| spellingShingle |
Hankel Determinants of Zeta Values Haynes, A. Zudilin, W. |
| title_short |
Hankel Determinants of Zeta Values |
| title_full |
Hankel Determinants of Zeta Values |
| title_fullStr |
Hankel Determinants of Zeta Values |
| title_full_unstemmed |
Hankel Determinants of Zeta Values |
| title_sort |
hankel determinants of zeta values |
| author |
Haynes, A. Zudilin, W. |
| author_facet |
Haynes, A. Zudilin, W. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147145 |
| citation_txt |
Hankel Determinants of Zeta Values / A. Haynes, W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. |
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2025-12-07T16:54:18Z |
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2025-12-07T16:54:18Z |
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