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Let F be a totally real number field of degree n over with ring of integers and narrow class number one. Let S2k(Γ) be the vector space of cuspidal Hilbert modular forms of parallel weight 2k for $\varGamma=\mathrm{SL}_{2}(\mathcal{O})$ , and let B2k be an orthogonal Hecke eigenbasis for this space. For any fixed Hecke eigenform f∈S2k(Γ) and any ε>0, we...
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