An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866915979739529216 |
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| author | Young, Matthew P. |
| author_facet | Young, Matthew P. |
| contents | We prove an improved spectral large sieve inequality for the family of $SL_3(\mathbb{Z})$ Hecke-Maass cusp forms. The method of proof uses duality and its structure reveals unexpected connections to Heath-Brown's large sieve for cubic characters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_02796 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$ Young, Matthew P. Number Theory We prove an improved spectral large sieve inequality for the family of $SL_3(\mathbb{Z})$ Hecke-Maass cusp forms. The method of proof uses duality and its structure reveals unexpected connections to Heath-Brown's large sieve for cubic characters. |
| title | An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2102.02796 |