A heuristic guide to evaluating triple-sums
arXiv:2012.05102 · doi:10.46298/hrj.2021.7431
Abstract
Using a heuristic that relates Appell--Lerch functions to divergent partial theta functions one can expand Hecke-type double-sums in terms of Appell--Lerch functions. We give examples where the heuristic can be used as a guide to evaluate analogous triple-sums in terms of Appell--Lerch functions or false theta functions.
26 pages. Submitted to Hardy Ramanujan Journal for special volume in honour of Ramanujan