Higher symmetric power $L$-functions and their Fourier coefficients

Kampamolla Venkatasubbareddy Ayyadurai Sankaranarayanan

Let $H_k$ be the set of all normalized primitive holomorphic cusp forms of even integral weight $k\ge 2$ for the full modular group $SL(2,\mathbb{Z})$, and let $j\ge 3$ be any f…