Let $\pi$ be a non-self-dual unitary cuspidal automorphic representation of non-solvable polyhedral type for GL(2) over a number field. We show that $\pi$ has a positive upper Dirichlet density of Hecke eigenvalues in any sector whose angle is at least 2.64 radians.
Comparing Hecke eigenvalues for pairs of automorphic representations for GL(2)
Non-Linear Additive Twists of $\mathrm{GL}_{3}$ Hecke Eigenvalues
The Second Moment of Sums of Hecke Eigenvalues I
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