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math.NT2024
The Shintani--Faddeev modular cocycle: Stark units from -Pochhammer ratios
Gene S. Kopp
We give a new interpretation of Stark units associated to real quadratic fields as real multiplication values of a modular cocycle. The cocycle of interest is a meromorphic factor…
math.NT2024
SIC-POVMs and orders of real quadratic fields
Gene S. Kopp, Jeffrey C. Lagarias
This paper concerns SIC-POVMs and their relationship to class field theory. SIC-POVMs are generalized quantum measurements (POVMs) described by equiangular complex lines thro…