Hankel Determinants of Zeta Values

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Haynes, A., Zudilin, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147145
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hankel Determinants of Zeta Values / A. Haynes, W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ.

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.