Second moment of $\text{GL(3)}\times \text{GL(2)}$ $L$--functions

Sumit Kumar, K. Mallesham, Suraj Panigrahy

For $M_1$ and $M_2$ two distinct primes, let $H_k^{\star }(M_1{M}_2,\ddot{I}ˆ)$ denote the set of primitive newforms of level $M_1{M}_2$, weight $k\ge 3$ and Nebentypus $\ddot{I}ˆ$ of conductor $M_…