Victor J. W. Guo and Michael J. Schlosser

A family of q-supercongruences modulo the cube of a cyclotomic polynomial

(7 pages)

Abstract. We establish a family of q-supercongruences modulo the cube of a cyclotomic polynomial for truncated basic hypergeometric series. This confirms a weaker form of a previous conjecture of the present authors. Our proof employs a very-well-poised Karlsson-Minton type summation due to Gasper, together with the `creative microscoping' method introduced by the first author in recent joint work with Zudilin.

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