Super congruence for the Apéry numbers

Super congruence for the Apéry numbers
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DOI:
10.1017/s002776300000307x
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发表时间:
1990-06
影响因子:
0.8
通讯作者:
T. Ishikawa
T. Ishikawa
中科院分区:
数学2区
文献类型:
--
作者:
T. Ishikawa

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设对任意n ≥ 0,. R. Apéry证明的不合理性的(2)和(3)利用这些数字(见[10])。结果,发现了Apéry数的许多性质(见[1]-[9])。特别地,Beukers和Stienstra证明了有趣的同余(见[11,定理13.1])。
Let, for any n ≥ 0, . R. Apéry’s proof of the irrationality of ζ(2) and ζ(3) made use of these numbers (see [10]). As a result, many properties of the Apéry numbers were found (see [l]-[9]). In particular, Beukers and Stienstra showed the interesting congruence (see [11, Theorem 13.1]).