Subconvexity for $GL(3)\times GL(2)$ twists (with an appendix by Will Sawin)

Prahlad Sharma

Let $\pi$ be a $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, $f$ be a $SL(2,\mathbb{Z})$ holomorphic cusp form or Maass cusp form and $\chi$ be any non-trivial character $\mathrm{mod}p$, where…