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Hankel determinants of zeta values

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posted on 2025-05-08, 18:24 authored by Alan Haynes, Wadim Zudilin
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.

Funding

ARC

DP170100466

History

Journal title

Symmetry, Integrability and Geometry: Methods and Applications

Volume

11

Publisher

National Academy of Sciences of Ukraine, Institute of Mathematics

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License .

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    Keywords

    irrationalityHankel determinantzeta value

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    CC BY-NC-SA 4.0

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