Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect
نویسندگان
چکیده
Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb Z)$ and $f$ holomorphic (or Maass) Hecke $SL(2,\mathbb{Z})$. In this paper we prove the following subconvex bound $$ L\left(\tfrac{1}{2}+it,\pi\times f\right)\ll_{\pi,f,\varepsilon} (1+|t|)^{\frac{3}{2}-\frac{1}{42}+\varepsilon}.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2021
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1131