<p>In this paper, we use Singh’s quadratic transformation formula to establish a <i>q</i>-congruence related to Van Hamme’s supercongruence (H.2) and confirm two conjectures proposed by Guo.</p>

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Proof of Guo’s Two Conjectures

  • Chang Xu,
  • Xiaoxia Wang

摘要

In this paper, we use Singh’s quadratic transformation formula to establish a q-congruence related to Van Hamme’s supercongruence (H.2) and confirm two conjectures proposed by Guo.