Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series

• Published in: Constructive approximation Vol. 53; no. 1; pp. 155 - 200
• Main Authors: Guo, Victor J. W., Schlosser, Michael J.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.02.2021; Springer Nature B.V
• Subjects: Analysis; Congruences; Mathematics; Mathematics and Statistics; Numerical Analysis; Polynomials; Transformations (mathematics); Primary 33D15; 33D45; Supercongruences; Basic hypergeometric series; Secondary 11A07; Identities; Linearization; 11F33

Several new q -supercongruences are obtained using transformation formulas for basic hypergeometric series, together with various techniques such as suitably combining terms, and creative microscoping, a method recently developed by the first author in collaboration with Zudilin. More concretely, th...