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arxiv: 1810.00539 · v1 · pith:TX3AEO5Vnew · submitted 2018-10-01 · 🧮 math.NT

Subconvexity for GL(3)times GL(2) L-functions in t-aspect

Ritabrata Munshi This is my paper
classification 🧮 math.NT
keywords formfracmathbbtimesvarepsilonaspectboundcusp
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Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb Z)$ and $f$ be a holomorphic (or Maass) Hecke form for $SL(2,\mathbb{Z})$. 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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