A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)

Long and Ramakrishna Some supercongruences occurring in truncated hyper- geometric series, Adv. Math. 290 (2016) 773–808 generalized the (H.2) supercongruence of Van Hamme to the modulus Formula: see text case. In this paper, we give a Formula: see text-analogue of Long and Ramakrishna’s result for Formula: see text. A Formula: see text-congruence modulo the fourth power of a cyclotomic polynomial, which is a deeper Formula: see text-analogue of the (A.2) supercongruence of Van Hamme for Formula: see text, is also formulated.