On the coefficients of symmetric power $L$-functions

Jaban Meher, Karam Deo Shankhadhar, G. K. Viswanadham

We study the signs of the Fourier coefficients of a newform. Let $f$ be a normalized newform of weight $k$ for ${\Gamma }_0(N)$. Let $a_f(n)$ be the $n$th Fourier coefficient of $f$. For a…