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On supercongruences for truncated sums of squares of basic hypergeometric series

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Abstract

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.

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Acknowledgements

The author is very grateful to the referees for valuable comments and interesting suggestions which have improved the quality of the paper.

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Correspondence to Mohamed El Bachraoui.

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El Bachraoui, M. On supercongruences for truncated sums of squares of basic hypergeometric series. Ramanujan J 54, 415–426 (2021). https://doi.org/10.1007/s11139-019-00226-0

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