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.GT2024
Summability for State Integrals of hyperbolic knots
Veronica Fantini, Campbell Wheeler
We prove conjectures of Garoufalidis-Gu-Mariño that perturbative series associated with the hyperbolic knots and are resurgent and Borel summable. In the process, we g…