Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.11302 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913393462476800 |
|---|---|
| author | Kimmel, Noam |
| author_facet | Kimmel, Noam |
| contents | We consider the problem of the vanishing of Poincaré series for congruence subgroups. Denoting by $P_{k,m,N}$ the Poincaré series of weight $k$ and index $m$ for the group $Γ_0(N)$, we show that for certain choices of parameters $k,m,N$, the Poincaré series does not vanish. Our methods improve on previous results of Rankin (1980) and Mozzochi (1989). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vanishing of Poincaré series for congruence subgroups Kimmel, Noam Number Theory We consider the problem of the vanishing of Poincaré series for congruence subgroups. Denoting by $P_{k,m,N}$ the Poincaré series of weight $k$ and index $m$ for the group $Γ_0(N)$, we show that for certain choices of parameters $k,m,N$, the Poincaré series does not vanish. Our methods improve on previous results of Rankin (1980) and Mozzochi (1989). |
| title | Vanishing of Poincaré series for congruence subgroups |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.11302 |