Year: 2025
Type: preprint
Abstract: We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of Lovejoy and the second author. As an application, we compute a dissection.
Source: arXiv (Cornell University)
Authors: Allen, Kevin, Osburn, Robert, Storzer, Matthias
Institution: University College Cork
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Irish Research Council
Award: G8058152878
OpenAlex ID: W7106228324
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