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math.NT2026
Real quadratic fields and finite quantum dilogarithms I
Danylo Radchenko, Campbell Wheeler
We prove that Stark--Shintani ray class invariants (Stark units) associated to real quadratic fields are algebraic numbers. These invariants are given by special values of Faddeev'…
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.NT2023★ 2 cited
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…