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A New Extension of the (A.2) Supercongruence of Van Hamme

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Abstract

We give a new extension of Van Hamme’s (A.2) supercongruence with a parameter s by establishing a q-analogue of this result. Our proof uses the ‘creative microscoping’ method, which was developed by the author and Zudilin. We also put forward some related open problems for further study.

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Authors and Affiliations

  1. School of Mathematics and Statistics, 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. A New Extension of the (A.2) Supercongruence of Van Hamme. Results Math 77, 96 (2022). https://doi.org/10.1007/s00025-022-01635-2

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