Abstract
Let λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) ∈ S k (Γ). In this paper we are interested in the average behavior of λ 2 (n) over sparse sequences. By using the properties of symmetric power L-functions and their Rankin-Selberg L-functions, we are able to establish that for any e > 0, formula math. where j = 2, 3, 4.
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