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math.NT2024
The Habiro ring of a number field
Stavros Garoufalidis, Peter Scholze, Campbell Wheeler +1
We introduce the Habiro ring of a number field and modules over it graded by . Elements of these modules are collections of power series at each compl…
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 gi…