Hecke-Rogers double-sums and false theta functions

Abstract

We develop a setting in which one can evaluate certain Hecke-Rogers series in terms of false theta functions. We apply our setting to recent false theta function identities of Chan and Kim as well as Andrews and Warnaar.

23 pages. Typos corrected

Cited by in corpus (2)

• Expressing $q$-series in terms of building blocks of Hecke-type double-sums
• A general formula for Hecke-type false theta functions