Browsing 2023 by Subject "Appell-Lerch series"
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Rank Deviations for Overpartitions
[OWP-2023-11] (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-12)We prove general fomulas for the deviations of two overpartition ranks from the average, namely \begin{equation*} \overline{D}(a, M) := \sum_{n \geq 0} \Bigl( \overline{N}(a, M, n) - \frac{\overline{p}(n)}{M} \Bigr) q^n ...