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math.NT2026
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…
math.NT2025
Products of extended binomial coefficients and their partial factorizations
Lara Du, Jeffrey Lagarias, Wijit Yangjit
This paper studies properties of the integer sequence which is analogous to $\overline{G}_n=\prod_{k=0…
math.NT2024
Ray class groups and ray class fields for orders of number fields
Gene S. Kopp, Jeffrey C. Lagarias
This paper contributes to the theory of orders of number fields. This paper defines a notion of "ray class group" associated to an arbitrary order in a number field together with a…