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On the coefficients of symmetric power L-functions

On the coefficients of symmetric power L-functions

We study the signs of the Fourier coefficients of a newform. Let [Formula: see text] be a normalized newform of weight [Formula: see text] for [Formula: see text]. Let [Formula: see text] be the [Formula: see text]th Fourier coefficient of [Formula: see text]. For any fixed positive integer [Formula: see …