Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917688970838016 |
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| author | Harun, Mohd Kumar, Sumit Singh, Saurabh Kumar |
| author_facet | Harun, Mohd Kumar, Sumit Singh, Saurabh Kumar |
| contents | \begin{abstract}
In this article, we will get non-trivial estimates for the central values of degree six Rankin-Selberg $L$-functions $L(1/2+it, π\times f)$ associated with a ${GL(3)}$ form $π$ and a ${GL(2)} $ form $f$ using the delta symbol approach in the hybrid settings i.e. in the level of ${GL(2)}$ form and $t$-aspect.
\end{abstract} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00775 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect Harun, Mohd Kumar, Sumit Singh, Saurabh Kumar Number Theory \begin{abstract} In this article, we will get non-trivial estimates for the central values of degree six Rankin-Selberg $L$-functions $L(1/2+it, π\times f)$ associated with a ${GL(3)}$ form $π$ and a ${GL(2)} $ form $f$ using the delta symbol approach in the hybrid settings i.e. in the level of ${GL(2)}$ form and $t$-aspect. \end{abstract} |
| title | Hybrid subconvexity bound for $GL(3)\times GL(2)$ $L$-functions: t and level aspect |
| topic | Number Theory |
| url | https://arxiv.org/abs/2306.00775 |