Higher Moments of the <em>n<sup>th</sup></em> Fourier Coefficients of <em>j<sup>th</sup></em> Symmetric Power <em>L</em>-Functions on Certain Sequence
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Suppose that x is a sufficiently large number and j≥2 is any integer. Let λsymjf(n) be the nth Fourier coefficient of jth symmetric power L-function. In this paper, we establish asymptotic formula for sums of Dirichlet coefficients λsymjf(n) over a sequence of positive integers.