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: | 18 Dec 2024 00:07 |
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 |