Non-linear additive twist of Fourier coefficients of $GL(3)\times GL(2)$ and $GL(3)$ Maass forms

Sumit Kumar, Kummari Mallesham, Saurabh Kumar Singh

Let ${\lambda }_{\pi }(m,n)$ be the Fourier coefficients of a Hecke-Maass cusp form $\pi$ for $SL(3,\mathbb{Z})$ and ${\lambda }_f(n)$ be the Fourier coefficients of Hecke-eigen form $f$ for $SL(2,\mathb…