81 citations · 484 across the 73 of their papers we have counts for
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math.NT2014★ 1 cited
Some q-analogues of (super)congruences of Beukers, Van Hamme and Rodriguez-Villegas
Victor J. W. Guo, Jiang Zeng
For any odd prime p we obtain q-analogues of Van Hamme's supercongruence: $$ \sum_{k=0}^{\frac{p-1}{2}}{2k\choose k}^3\frac{1}{64^k} \equiv 0 \pmod{p^2} \quad\text{for}\quad p\equi…
math.NT2014★ 45 cited
Some q-analogues of supercongruences of Rodriguez-Villegas
Victor J. W. Guo, Jiang Zeng
We study different q-analogues and generalizations of the ex-conjectures of Rodriguez-Villegas. For example, for any odd prime p, we show that the known congruence \sum_{k=0}^{p-1}…