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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.GT2026
A lift of the colored Jones polynomial of a knot
Stavros Garoufalidis, Campbell Wheeler
Habiro lifted the Witten-Reshetikhin-Turaev invariant of an integer homology 3-sphere (a complex-valued function on the set of complex roots of unity) to an element of the Habiro r…