A general double sum identity, mock theta functions, and Bailey pairs
Volume 198 / 2021
Acta Arithmetica 198 (2021), 377-385 MSC: 33D15, 11F37. DOI: 10.4064/aa200427-9-11 Published online: 24 February 2021
We obtain some Bailey pairs associated with indefinite quadratic forms with the $\beta _n$ connected to a finite sum. A new general identity is given, which provides identities for $q$-hypergeometric series, including mock theta functions.