A bound for twists of $\mathrm{G}{\mathrm{L}}_3\times \mathrm{G}{\mathrm{L}}_2$ $L$-functions with composite modulus

Qingfeng Sun, Yanxue Yu

Let $\pi$ be a Hecke-Maass cusp form for $\mathrm{S}{\mathrm{L}}_3(\mathbf{Z})$ and let $g$ be a holomorphic or Maass cusp form for $\mathrm{S}{\mathrm{L}}_2(\mathbf{Z})$. Let $\chi$ be a primitive Dirichlet character…