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Coefficients of symmetric square L-functions

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Abstract

Let \( \lambda _{sym^2 f} \) (n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function associated with a holomorphic primitive cusp form f. We prove Ω± results for \( \lambda _{sym^2 f} \) (n) and evaluate the number of positive (resp., negative) \( \lambda _{sym^2 f} \) (n) in some intervals.

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Correspondence to JianYa Liu.

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Dedicated to Professor Wang Yuan on the Occasion of his 80th Birthday

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Lau, YK., Liu, J. & Wu, J. Coefficients of symmetric square L-functions. Sci. China Math. 53, 2317–2328 (2010). https://doi.org/10.1007/s11425-010-4046-z

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