1.1k citations · 1.7k across the 25 of their papers we have counts for
26 papers
Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues
Brian A. Benson, Grant S. Lakeland, Holger Then
We compute the Cheeger constants of a collection of hyperbolic surfaces corresponding to maximal non-compact arithmetic Fuchsian groups, and to subgroups which are the rotation sub…
On the evaluation of singular invariants for canonical generators of certain genus one arithmetic groups
Jay Jorgenson, Lejla Smajlović, Holger Then
Let be a positive square-free integer such that the discrete group has genus one. In a previous article, we constructed canonical generators and …
Rapid computation of -functions attached to Maass forms
Andrew R. Booker, Holger Then
Let be a degree- -function associated to a Maass cusp form. We explore an algorithm that evaluates values of on the critical line in time .…
The Hauptmodul at elliptic points of certain arithmetic groups
Jay Jorgenson, Lejla Smajlović, Holger Then
Let be a square-free integer such that the arithmetic group has genus zero; there are such groups. Let denote the associated Hauptmodul normalized to have…
Certain aspects of holomorphic function theory on some genus zero arithmetic groups
Jay Jorgenson, Lejla Smajlovic, Holger Then
There are a number of fundamental results in the study of holomorphic function theory associated to the discrete group PSL(2,Z) including the following statements: The ring of holo…
The physics of angular momentum radio
B. Thidé, F. Tamburini, H. Then +2
Wireless communications, radio astronomy and other radio science applications are predominantly implemented with techniques built on top of the electromagnetic linear momentum (Poy…