Generalized rank deviations for overpartitions
arXiv:2511.16396
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.
20 pages, to appear in the Illinois Journal of Mathematics