On the average behavior of the Fourier coefficients of $j^{th}$ symmetric power $L$-function over a certain sequences of positive integers

Anubhav Sharma, Ayyadurai Sankaranarayanan

In this paper, we investigate the average behavior of the $n^{th}$ normalized Fourier coefficients of the $j^{th}$ ($j\ge 2$ be any fixed integer) symmetric power $L$-function (i…