Searching for modular companions

Abstract

In this note, we report on the results of a computer search performed to find possible modular companions to certain $q$-series identities and conjectures. For the search, we use conditions arising from the asymptotics of Nahm sums. We focus on two sets of identities: Capparelli's identities, and certain partition conjectures made by the author jointly with Matthew C. Russell.

9 pages

References in corpus (1)

• A variant of $\text{IdentityFinder}$ and some new identities of Rogers-Ramanujan-MacMahon type