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Some Congruences from the Karlsson-Minton Summation Formula

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Abstract

Let p be an odd prime. In this paper, by using the well-known Karlsson-Minton summation formula, we mainly prove two supercongruences as variants of a supercongruence of Deines-Fuselier-Long-Swisher-Tu, which confirm some recent conjectures of V.J.W. Guo.

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Acknowledgements

We are very grateful to the anonymous referee for his/her valuable suggestions. This work is supported by the National Natural Science Foundation of China (grant no. 12201301) and the Jiangsu Province Student Innovation Training Program (grant no. 202210298128Y).

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National Natural Science Foundation of China (12201301)

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Correspondence to Chen Wang.

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Li, J., Tang, Y. & Wang, C. Some Congruences from the Karlsson-Minton Summation Formula. Results Math 78, 138 (2023). https://doi.org/10.1007/s00025-023-01916-4

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