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A heuristic guide to evaluating triple-sums
Published 9 Dec 2020 in math.NT | (2012.05102v2)
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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