| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593578 | Journal of Number Theory | 2015 | 24 Pages |
Abstract
TextLet K be a number field, let MM be the Hilbert modular orbifold of K, and let mqmq be the probability measure uniformly supported on the cusp cross sections of MM at height q . We show that mqmq distributes uniformly with respect to the normalized Haar measure m on MM as q tends to zero, and relate the rate by which mqmq approaches m to the Riemann hypothesis for the Dedekind zeta function of K.VideoFor a video summary of this paper, please visit http://youtu.be/_39k9paBQjM.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Samuel Estala-Arias,