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- W4287636625 abstract "Let $f$ be a $SL(2,mathbb{Z})$ holomorphic cusp form or the Eisenstien series $E(z,1/2)$ and $pi$ be a $SL(3,mathbb{Z})$ Hecke-Maass cusp form with its Langlands parameter $mu$ in generic position i.e. away from Weyl chamber walls and away from self dual forms. We study an amplified second moment $sum_{j} A(pi_j)|L(1/2,pi_jtimes f)|^2$ and deduce the subconvexity bound begin{equation*} L(1/2,pitimes f)ll_{f,epsilon} |mu|^{3/2-1/2022+epsilon}. end{equation*} As a corollary, when $f=E(z,1/2)$, we also obtain the subconvexity bound begin{equation*} L(1/2,pi)ll_{epsilon} |mu|^{3/4-1/4044+epsilon}. end{equation*}" @default.
- W4287636625 created "2022-07-25" @default.
- W4287636625 creator A5080310378 @default.
- W4287636625 date "2020-10-20" @default.
- W4287636625 modified "2023-10-16" @default.
- W4287636625 title "Subconvexity for $GL(3)times GL(2)$ $L$-functions in $GL(3)$ spectral aspect" @default.
- W4287636625 doi "https://doi.org/10.48550/arxiv.2010.10153" @default.
- W4287636625 hasPublicationYear "2020" @default.
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