Higher Moments of the nth Fourier Coefficients of jth Symmetric Power L-Functions on Certain Sequence

2025 · doi:10.20944/preprints202506.1392.v1
preprint OA: closed CC-BY-4.0
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Abstract

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.

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License: CC-BY-4.0