대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권3호
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  • Pages.775-783
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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 (School of Mathematics and Statistics Huaiyin Normal University) ;
  • Xiuguo Lian (School of Mathematics and Statistics Huaiyin Normal University)
  • 투고 : 2022.05.29
  • 심사 : 2022.11.01
  • 발행 : 2023.05.31
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초록

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).

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참고문헌

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