Bounds for the periods of eigenfunctions on arithmetic hyperbolic 3-manifolds over surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909940550991872 |
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| author | Hou, Jiaqi |
| author_facet | Hou, Jiaqi |
| contents | Let $ψ$ be a Hecke-Maass form on a compact congruence arithmetic hyperbolic 3-manifold $X$, and let $Y$ be a hyperbolic surface in $X$ that is not necessarily closed. We obtain a power saving result over the local bound for the period of $ψ$ along $Y$, by applying the method of arithmetic amplification developed by Iwaniec and Sarnak. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_04863 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bounds for the periods of eigenfunctions on arithmetic hyperbolic 3-manifolds over surfaces Hou, Jiaqi Number Theory Analysis of PDEs 58J51, 11F03 Let $ψ$ be a Hecke-Maass form on a compact congruence arithmetic hyperbolic 3-manifold $X$, and let $Y$ be a hyperbolic surface in $X$ that is not necessarily closed. We obtain a power saving result over the local bound for the period of $ψ$ along $Y$, by applying the method of arithmetic amplification developed by Iwaniec and Sarnak. |
| title | Bounds for the periods of eigenfunctions on arithmetic hyperbolic 3-manifolds over surfaces |
| topic | Number Theory Analysis of PDEs 58J51, 11F03 |
| url | https://arxiv.org/abs/2304.04863 |