Haynes, Alan orcid.org/0000-0001-6077-8162 and Zudilin, Wadim (2015) Hankel determinants of zeta values. Symmetry integrability and geometry-Methods and applications. 101. ISSN: 1815-0659
Abstract
We study the asymptotics of Hankel determinants constructed using the values ς(an + b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Keywords: | Hankel determinant,Irrationality,Zeta value |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Funding Information: | Funder Grant number EPSRC EP/M023540/1 EPSRC EP/L001462/2 EPSRC EP/J00149X/2 |
| Depositing User: | Pure (York) |
| Date Deposited: | 15 Feb 2017 15:40 |
| Last Modified: | 20 Sep 2025 00:05 |
| Published Version: | https://doi.org/10.3842/SIGMA.2015.101 |
| Status: | Published |
| Refereed: | Yes |
| Identification Number: | 10.3842/SIGMA.2015.101 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112232 |

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