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Journal articles

A heuristic guide to evaluating triple-sums

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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https://hal.archives-ouvertes.fr/hal-03208492
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Submitted on : Monday, April 26, 2021 - 3:44:28 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Long-term archiving on: : Tuesday, July 27, 2021 - 7:25:29 PM

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Eric Mortenson. A heuristic guide to evaluating triple-sums. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020, pp.99-121. ⟨10.46298/hrj.2021.7431⟩. ⟨hal-03208492⟩

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