On two conjectural supercongruences of Apagodu and Zeilberger

On two conjectural supercongruences of Apagodu and Zeilberger
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DOI:
10.1080/10236198.2016.1245295
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发表时间:
2016-06
影响因子:
1.1
通讯作者:
Ji-Cai Liu
Ji-Cai Liu
中科院分区:
数学4区
文献类型:
--
作者:
Ji-Cai Liu

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设和分别表示。我们证明了,对于任何素数和正整数n,其中表示勒让德符号。这两个超同余最近由Apagodu和Zeilberger证明。
Abstract Let the numbers and denote respectively. We prove that for any prime and positive integer n where denotes the Legendre symbol. These two supercongruences were recently conjectured by Apagodu and Zeilberger.