167 citations · 519 across the 84 of their papers we have counts for
54 papers · 1 filter
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…
The family of -floor quotient partial orders
Jeffrey C. Lagarias, David Harry Richman
An approximate divisor order is a partial order on the positive integers that refines the divisor order and is refined by the additive total order. A previous paper…
The factorial function and generalizations, extended
Jeffrey C. Lagarias, Wijit Yangjit
This paper presents an extension of Bhargava's theory of factorials associated to any nonempty subset of . Bhargava's factorials are invariants, constructed…
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…
The error term in the truncated Perron formula for the logarithm of an -function
Stephan Ramon Garcia, Jeffrey Lagarias, Ethan Simpson Lee
We improve upon the traditional error term in the truncated Perron formula for the logarithm of an -function. All our constants are explicit.
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…