In their paper “A survey of classical mock theta functions”, Gordon and McIntosh observed that the classical mock \(\theta \) -functions, including those found by Ramanujan, can be expressed in terms of two ‘universal’ mock \(\theta \) -functions denoted by \(g_2\) and \(g_3\) . These identities are known as mock \(\theta \) -conjectures, even after they have been proved. The fifth and seventh order mock \(\theta \) -conjectures were proved by Dean Hickerson. In the survey paper, the authors gave mock \(\theta \) -conjectures for other mock \(\theta \) -functions and referred the proofs to a future paper with this title, listed in their references as [GM4]. The purpose of this paper is to prove these identities for the mock \(\theta \) -functions of orders 6 and 8.
