• Title/Summary/Keyword: supercongruences

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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
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.3
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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).