A heuristic guide to evaluating triple-sums
Number Theory
2023-04-25 v2
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.
Cite
@article{arxiv.2012.05102,
title = {A heuristic guide to evaluating triple-sums},
author = {Eric T. Mortenson},
journal= {arXiv preprint arXiv:2012.05102},
year = {2023}
}
Comments
26 pages. Submitted to Hardy Ramanujan Journal for special volume in honour of Ramanujan