Eric Mortenson
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A heuristic guide to evaluating triple-sums
hrj:7431 -
Hardy-Ramanujan Journal,
May 6, 2021,
Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020
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https://doi.org/10.46298/hrj.2021.7431
A heuristic guide to evaluating triple-sums
Authors: Eric Mortenson
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.