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arXiv · 2012.05102

A heuristic guide to evaluating triple-sums

Eric T. Mortenson
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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.

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Eric T. Mortenson. 2020-12-09. A heuristic guide to evaluating triple-sums. https://doi.org/10.46298/hrj.2021.7431

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