Short second moment bound and Subconvexity for GL(3) $L$-functions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914049858469888 |
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| author | Aggarwal, Keshav Leung, Wing Hong Munshi, Ritabrata |
| author_facet | Aggarwal, Keshav Leung, Wing Hong Munshi, Ritabrata |
| contents | Let $π$ be a Hecke cusp form for $\mathrm{SL}_3(\mathbb{Z})$. We bound the second moment average of $L(s,π)$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it, π) \ll_{π, \varepsilon} (1+|t|)^{3/4-1/8+\varepsilon}. $$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06517 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Short second moment bound and Subconvexity for GL(3) $L$-functions Aggarwal, Keshav Leung, Wing Hong Munshi, Ritabrata Number Theory 11F66, 11M99 Let $π$ be a Hecke cusp form for $\mathrm{SL}_3(\mathbb{Z})$. We bound the second moment average of $L(s,π)$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it, π) \ll_{π, \varepsilon} (1+|t|)^{3/4-1/8+\varepsilon}. $$ |
| title | Short second moment bound and Subconvexity for GL(3) $L$-functions |
| topic | Number Theory 11F66, 11M99 |
| url | https://arxiv.org/abs/2206.06517 |