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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2018
• Автор: Zudilin W.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2018
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/209436
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.

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...