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SOME HYPERGEOMETRIC INTEGRALS FOR LINEAR FORMS IN ZETA VALUES

Published online by Cambridge University Press:  19 July 2018

WADIM ZUDILIN*
Affiliation:
Department of Mathematics, IMAPP, Radboud University, PO Box 9010, 6500 GL Nijmegen, Netherlands email w.zudilin@math.ru.nl
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Abstract

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We prove new integral representations of the approximation forms in zeta values.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
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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