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.
Збережено в:
| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147145 |
| Теги: |
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| Цитувати: | Hankel Determinants of Zeta Values / A. Haynes, W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147145 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1471452019-02-14T01:26:17Z Hankel Determinants of Zeta Values Haynes, A. Zudilin, W. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147145 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Haynes, A. Zudilin, W. |
| spellingShingle |
Haynes, A. Zudilin, W. Hankel Determinants of Zeta Values Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Haynes, A. Zudilin, W. |
| author_sort |
Haynes, A. |
| title |
Hankel Determinants of Zeta Values |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT haynesa hankeldeterminantsofzetavalues AT zudilinw hankeldeterminantsofzetavalues |
| first_indexed |
2023-05-20T17:26:42Z |
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2023-05-20T17:26:42Z |
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