On the exponent of distribution for convolutions of $\mathrm{GL(2)}$ coefficients to smooth moduli
Let $(λ_f(n))_{n\geqslant1}$ be the Hecke eigenvalues of a holomorphic cusp form $f$. We prove that the exponent of distribution of $λ_f*1$ in arithmetic progressions is as large as $\frac{1}{2}+\frac{1}{46}$ when the modulus $q$ is square-free.
math.NT↗