The density Hypothesis for irreducible lattices in $\mathrm{PSL}_2(\mathbb{R})^d$
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914058404364288 |
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| author | Kelmer, Dubi |
| author_facet | Kelmer, Dubi |
| contents | We prove the density hypothesis for congruence subgroups of an irreducible uniform lattice in $\mathrm{PSL}_2(\mathbb{R})^d$, extending previous results on the spherical density hypothesis to bound multiplicities of non-tempered non-spherical representations. Our bounds are uniform in the level as well as the spectral parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The density Hypothesis for irreducible lattices in $\mathrm{PSL}_2(\mathbb{R})^d$ Kelmer, Dubi Number Theory We prove the density hypothesis for congruence subgroups of an irreducible uniform lattice in $\mathrm{PSL}_2(\mathbb{R})^d$, extending previous results on the spherical density hypothesis to bound multiplicities of non-tempered non-spherical representations. Our bounds are uniform in the level as well as the spectral parameters. |
| title | The density Hypothesis for irreducible lattices in $\mathrm{PSL}_2(\mathbb{R})^d$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.22595 |