Improved subconvexity bounds for GL(2)xGL(3) and GL(3) L-functions by weighted stationary phase

Mark McKee, Haiwei Sun, Yangbo Ye

Let $f$ be a fixed self-contragradient Hecke-Maass form for $SL(3,\mathbb{Z})$, and $u$ an even Hecke-Maass form for $SL(2,\mathbb{Z})$ with Laplace eigenvalue $1/4+k^2$, $k>0$. A su…