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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7732| Title: | Estimates of cusp forms for certain co-compact arithmetic subgroups |
| Authors: | Aryasomayajula, Anilatmaja BALASUBRAMANYAM, BASKAR Dept. of Mathematics |
| Keywords: | Norms 2022 |
| Issue Date: | Oct-2022 |
| Publisher: | American Mathematical Society |
| 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. |
| Abstract: | Proceedings of the American Mathematical Society, 150 (10)4191-4201. |
| URI: | https://doi.org/10.1090/proc/15181 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7732 |
| ISSN: | 0002-9939 1088-6826 |
| Appears in Collections: | JOURNAL ARTICLES |
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