arXiv 1405.44452014-05-17math.NT

寻找神秘式的奇迹[使用，Inter-Alia，惊人的Almkvist-Zeilberger算法]

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

Shalosh B. Ekhad, Doron Zeilberger

备注：: 16 pages. Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger, May 2014, and this arxiv.org. Accompanied my Maple package NesApery, available from http://www.math.rutgers.edu/~zeilberg/tokhniot/NesApery

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摘要：

罗杰·阿维尼翁证明非理性的开创性方法被“颠倒过来”，并被教授给计算机，使zeta（3）的原始证明能够在一秒钟内还原，并对许多新常数进行了许多新的非理性证明，唉，它们中没有一个既著名又尚未被证明是非理性的。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。