Some q-supercongruences from Rahman's summation formula
Abstract
Inspired by the recent work on q-congruences and the quadratic summation formula of Rahman, we provide some new q-supercongruences. By taking q 1 in one of our results, we obtain a new Ramanujan-type supercongruence, which has the same right-hand side as Van Hamme's (G.2) supercongruence for p 1 4. We also formulate some related challenging conjectures on supercongruences and q-supercongruences.
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