A complete classification of when a_p(f) ≡ x mod λ is governed by a congruence condition on p, in terms of the projective mod λ Galois image, extending Swinnerton-Dyer.
Formes modulaires et representations -adiques
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Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms
A complete classification of when a_p(f) ≡ x mod λ is governed by a congruence condition on p, in terms of the projective mod λ Galois image, extending Swinnerton-Dyer.