2 papers
math.NT2025
Resurgence, Habiro elements and strange identities
Samuel Crew, Veronica Fantini, Ankush Goswami +2
We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring that come from radial limits of partial theta series via s…
math.NT2024
Rank deviations for overpartitions
Jeremy Lovejoy, Robert Osburn
We prove general fomulas for the deviations of two overpartition ranks from the average. These formulas are in terms of Appell--Lerch series and sums of quotients of theta function…