On supercongruences for truncated sums of squares of basic hypergeometric series
On supercongruences for truncated sums of squares of basic hypergeometric series
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DOI：
10.1007/s11139-019-00226-0
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发表时间：
2020-05
期刊：
影响因子：
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通讯作者：
M. EL BACHRAOUI
中科院分区：
文献类型：
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作者：
M. EL BACHRAOUI
无穷级数的截断和的同余不能直接推广到这些无穷级数的高次截断和的同余。Guo和Zudilin最近建立了一些基本超几何级数截断和的各种超同余。在本文中，我们将这些超同余中的一些推广到相应级数的平方和的截短。
Congruences of truncated sums of infinite series do not directly extend to congruences of the truncated sums of higher powers of these infinite series. Guo and Zudilin recently established a variety of supercongruences for truncated sums of certain basic hypergeometric series. In this note we extend some of these supercongruences to the truncated sums of the squares of the corresponding series.