Congruences for truncated hypergeometric series ${}_2F_1$
Congruences for truncated hypergeometric series ${}_2F_1$
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DOI：
10.1017/s0004972717000181
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发表时间：
2016-05
期刊：
影响因子：
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通讯作者：
Ji-Cai Liu
中科院分区：
文献类型：
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作者：
Ji-Cai Liu
Rodriguez-Villegas conjectured four supercongruences associated to certain elliptic curves, which were first confirmed by Mortenson by using the Gross-Koblitz formula. In this paper, we aim to prove four supercongruences between two truncated hypergeometric series ${}_2F_1$. This generalizes these four Rodriguez-Villegas supercongruences.
