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On supercongruences for truncated sums of squares of basic hypergeometric series
The Ramanujan Journal ( IF 0.7 ) Pub Date : 2020-05-09 , DOI: 10.1007/s11139-019-00226-0
Mohamed El Bachraoui

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.



中文翻译:

基本超几何级数的平方和的超同余

无穷级数的截断和的同余不能直接扩展到这些无穷级数的较高幂的截断和的同余。Guo和Zudilin最近为某些基本超几何级数的截断和建立了各种超同余。在本说明中,我们将其中一些超同余扩展到相应级数平方的平方和。

更新日期:2020-05-09
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