Certain L2-norms on automorphic representations of SL(2)
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866917575444660224 |
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| author | He, Hongyu |
| author_facet | He, Hongyu |
| contents | Let $Γ$ be a non-uniform lattice in $SL(2, \mathbb R)$. In this paper, we study various $L^2$-norms of automorphic representations of $SL(2, \mathbb R)$. We bound these norms with intrinsic norms defined on the representation. Comparison of these norms will help us understand the growth of $L$-functions in a systematic way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_09235 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Certain L2-norms on automorphic representations of SL(2) He, Hongyu Representation Theory Number Theory 22E45, 22E46, 11F70 Let $Γ$ be a non-uniform lattice in $SL(2, \mathbb R)$. In this paper, we study various $L^2$-norms of automorphic representations of $SL(2, \mathbb R)$. We bound these norms with intrinsic norms defined on the representation. Comparison of these norms will help us understand the growth of $L$-functions in a systematic way. |
| title | Certain L2-norms on automorphic representations of SL(2) |
| topic | Representation Theory Number Theory 22E45, 22E46, 11F70 |
| url | https://arxiv.org/abs/2008.09235 |