Some supercongruences related to truncated hypergeometric series

被引:0
|
作者
Pramod Kumar Kewat
Ram Kumar
机构
[1] Indian Institute of Technology (Indian School of Mines),Department of Mathematics and Computing
[2] Amity University,Department of Mathematics
来源
The Ramanujan Journal | 2023年 / 60卷
关键词
Supercongruences; Classical hypergeometric series; Truncated hypergeometric series; -Adic gamma functions; 11A07; 33D15;
D O I
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学科分类号
摘要
In this manuscript, we obtain some supercongruences between truncated classical hypergeometric series using the theory of classic hypergeometric series and p-adic analysis. Using these supercongruences, we obtain some supercongruences for binomial coefficients. We also derive some congruences for the p-adic Gamma function.
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页码:157 / 173
页数:16
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