Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2406.11302 |
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Sommario:
- 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).