One of the Odd Zeta Values from ζ(5) to ζ(25) Is Irrational. By Elementary Means

Available proofs of the result of the type "at least one of the odd zeta values ζ(5), ζ(7),…, ζ(s) is irrational" make use of the saddle-point method or of linear independence criteria, or both. These two remarkable techniques are, however, counted as highly non-elementary, therefore leavi...

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Bibliographic Details
Date:2018
Main Author: Zudilin W.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209436
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:One of the Odd Zeta Values from ζ(5) to ζ(25) Is Irrational. By Elementary Means / W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine