37 citations · 44 across the 8 of their papers we have counts for
12 papers
Ray class monoids for orders of number fields
Gene S. Kopp
We define and study six ray class monoids associated to a level datum , where is an order in a number field , is an…
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…
A Kronecker limit formula for indefinite zeta functions
Gene S. Kopp
We prove an analogue of Kronecker's second limit formula for a continuous family of "indefinite zeta functions". Indefinite zeta functions were introduced in the author's previous…
Indefinite zeta functions
Gene S. Kopp
We define generalised zeta functions associated to indefinite quadratic forms of signature (g-1,1) -- and more generally, to complex symmetric matrices whose imaginary part has sig…
SIC-POVMs and the Stark conjectures
Gene S. Kopp
The existence of a set of d^2 pairwise equiangular complex lines (equivalently, a SIC-POVM) in d-dimensional Hilbert space is currently known only for a finite set of dimensions d.…
Generating weights for the Weil representation attached to an even order cyclic quadratic module
Luca Candelori, Cameron Franc, Gene S. Kopp
We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of th…