167 citations · 519 across the 84 of their papers we have counts for
90 papers
-orderings for all ideals of Dedekind domains and generalized factorials
Jeffrey C. Lagarias, Wijit Yangjit
This paper extends Bhargava's theory of -orderings of subsets of a Dedekind ring valid for prime ideals in . Bhargava's theory defines for i…
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…
Asymptotics of Reciprocal Supernorm Partition Statistics
Jeffrey C. Lagarias, Chenyang Sun
We consider two multiplicative statistics on the set of integer partitions: the norm of a partition, which is the product of its parts, and the supernorm of a partition, which is t…
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…