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arXiv · 1405.4445

Searching for Apery-Style Miracles [Using, Inter-Alia, the Amazing Almkvist-Zeilberger Algorithm]

Shalosh B. Ekhad·Doron Zeilberger
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Abstract

Roger Apery's seminal method for proving irrationality is "turned on its head" and taught to computers, enabling a one second redux of the original proof of zeta(3), and many new irrationality proofs of many new constants, alas, none of them is both famous and not-yet-proved-irrational.

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Shalosh B. Ekhad, Doron Zeilberger. 2014-05-17. Searching for Apery-Style Miracles [Using, Inter-Alia, the Amazing Almkvist-Zeilberger Algorithm]. https://arxiv.org/abs/1405.4445

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