Treffer: Some q-supercongruences modulo the product of cyclotomic polynomials.

In this paper, we give some q-supercongruences modulo the product of cyclotomic polynomials with the help of “creative microscoping”, introduced by [V. J. W. Guo and W. Zudilin, A q-microscope for supercongruences, <italic>Adv. Math.</italic> <bold>346</bold> (2019) 329–358]. Meanwhile, we confirm two supercongruences conjectures of Wei through establishing their q-analogs. For example, we obtain that ∑k=0(ps+3)/4 − 3 4k3 (1)k3 ≡−ps 3 − 9 8(ps+3)/4 5 8(ps+3)/4 (modps+2), where p is a prime with p ≡ 1(mod 8). [ABSTRACT FROM AUTHOR]