2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions

In this paper, we develop a systematic method for obtaining and proving $m$-dissections of mock theta functions. In 2014, Hickerson and Mortenson showed how to derive and prove identities for Ramanujan’s mock theta functions and Hecke-type indefinite theta series using Appell–Lerch sums. We build on their transformation formula method, combining it with symbolic computations and algorithms for the theory of modular functions. We focus exclusively on the cases of 2- and 3-dissections.