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Some q-supercongruences from Gasper’s Karlsson–Minton type summation

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Abstract

We give a q-analogue of a supercongruence of Deines–Fuselier–Long–Swisher–Tu by using the ‘creative microscoping’ method and Gasper’s Karlsson–Minton type summation. As a conclusion, we obtain a new supercongruence modulo \(p^2\), where p is an odd prime. We also establish another two q-supercongruences along the same lines.

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Acknowledgements

The author thanks the anonymous referees for helpful comments on this paper.

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  1. School of Mathematical Sciences, Huaiyin Normal University, Huai’an, 223300, Jiangsu, People’s Republic of China

    Victor J. W. Guo

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  1. Victor J. W. Guo
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Correspondence to Victor J. W. Guo.

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Guo, V.J.W. Some q-supercongruences from Gasper’s Karlsson–Minton type summation. Ramanujan J 60, 825–835 (2023). https://doi.org/10.1007/s11139-022-00621-0

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