论文标题

长长和拉马克里希纳的超级企业的扩展

An extension of a supercongruence of Long and Ramakrishna

论文作者

Guo, Victor J. W., Liu, Ji-Cai, Schlosser, Michael J.

论文摘要

我们证明了针对特定截短的超几何序列的两个超副本。其中包括朗和拉马克里希纳最近建立的超级美食的一式占用。我们的证明涉及各种超几何身份的特殊实例,包括Whipple的转型和Karlsson- Minton总结。

We prove two supercongruences for specific truncated hypergeometric series. These include an uniparametric extension of a supercongruence that was recently established by Long and Ramakrishna. Our proofs involve special instances of various hypergeometric identities including Whipple's transformation and the Karlsson--Minton summation.

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