Estimates of cusp forms for certain co-compact arithmetic subgroups
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
Proceedings of the American Mathematical Society, 150 (10)4191-4201.
Description
Citation
In contrast to the fact that there are only finitely many maximal arithmetic reflection groups acting on the hyperbolic space Hn, n ≥ 2, we show that: (a) one can produce infinitely many maximal quasi–arithmetic reflection groups acting on H2; (b) they admit infinitely many different fields of definition; (c) the degrees of their fields of definition are unbounded. However, for n ≥ 14 an approach initially developed by Vinberg shows that there are still finitely many fields of definitions in the quasi–arithmetic case.