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A NEW q-ANALOGUE OF VAN HAMME'S (G.2) SUPERCONGRUENCE FOR PRIMES p ≡ 3 (mod 4)

  • Victor J. W. Guo;Xiuguo Lian
    • 대한수학회보
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    • 제60권3호
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    • pp.775-783
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    • 2023

  • Van Hamme's (G.2) supercongruence modulo p4 for primes p ≡ 3 (mod 4) and p > 3 was first established by Swisher. A q-analogue of this supercognruence was implicitly given by the first author and Schlosser. In this paper, we present a new q-analogue of Van Hamme's (G.2) supercongruence for p ≡ 3 (mod 4).

  • https://doi.org/10.4134/BKMS.b220369 인용 PDF