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SOME HYPERGEOMETRIC INTEGRALS FOR LINEAR FORMS IN ZETA VALUES
Part of:
Zeta and $L$-functions: analytic theory
Diophantine approximation, transcendental number theory
Published online by Cambridge University Press: 19 July 2018
Abstract
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We prove new integral representations of the approximation forms in zeta values.
MSC classification
Primary:
11M06: $zeta (s)$ and $L(s, chi)$
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 98 , Issue 3 , December 2018 , pp. 372 - 375
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Copyright
- © 2018 Australian Mathematical Publishing Association Inc.
References
Fischler, S., Sprang, J. and Zudilin, W., ‘Many odd zeta values are irrational’, Preprint, 2018, arXiv:1803.08905 [math.NT]; abridged version, Comptes
Rendus Math. Acad. Sci. Paris
356 (2018), 707–711.Google Scholar
Zudilin, W., ‘One of the odd zeta values from 𝜁(5)
to 𝜁(25) is irrational. By elementary means’,
SIGMA
14 (2018), Article ID 028,
8 pages.Google Scholar
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