The sequence λ_f * 1 has distribution exponent 1/2 + 1/70 in arithmetic progressions for square-free smooth moduli.
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On the exponent of distribution for convolutions of $\operatorname{GL}(2)$ coefficients to smooth moduli
The sequence λ_f * 1 has distribution exponent 1/2 + 1/70 in arithmetic progressions for square-free smooth moduli.