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Supercongruences involving Apéry-like sequences \(\{m^nG_n(x)\}\) and \(\{m^nV_n(x)\}\)

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Abstract

In this paper, we mainly obtain some congruences involving Apéry-like sequences \(\{m^nG_n(x)\}\) and \(\{m^nV_n(x)\}\) modulo \(p^3\) and \(p^4\), respectively.

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Acknowledgements

The authors would like to thank the anonymous referees for helpful comments. The first author is funded by the National Natural Science Foundation of China (12001288) and the China Scholarship Council (202008320187).

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Guo-Shuai Mao & Jun-Jun Yang

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  1. Guo-Shuai Mao
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  2. Jun-Jun Yang
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Correspondence to Guo-Shuai Mao.

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The first author is the corresponding author. This research was supported by the National Natural Science Foundation of China (Grant 12001288).

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Mao, GS., Yang, JJ. Supercongruences involving Apéry-like sequences \(\{m^nG_n(x)\}\) and \(\{m^nV_n(x)\}\). Period Math Hung 87, 303–314 (2023). https://doi.org/10.1007/s10998-023-00518-5

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  • DOI: https://doi.org/10.1007/s10998-023-00518-5

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