Supercongruences on Truncated Hypergeometric Series

Supercongruences on Truncated Hypergeometric Series
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DOI:
10.1007/s00025-016-0635-7
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发表时间:
2016-12
影响因子:
2.2
通讯作者:
B. He
B. He
中科院分区:
数学3区
文献类型:
--
作者:
B. He

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本文利用ep-adic Gamma函数和超几何级数的某些公式建立了几个新的超同余。特别地,我们推广了货车Hamme和Swisher的ap-adic超同余猜想.
In this paper, we usep-adic Gamma function and certain formulas on hypergeometric series to establish several new supercongruences. In particular, we give a generalization of ap-adic supercongruence conjecture due to van Hamme and Swisher.