Establishes best known uniform bounds on newform correlation and decorrelation integrals, yielding effective holomorphic QUE and extending prior decorrelation results via refined weak subconvexity for Rankin-Selberg L-functions.
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The sequence λ_f * 1 has distribution exponent 1/2 + 1/70 in arithmetic progressions for square-free smooth moduli.
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Effective correlation and decorrelation for newforms, and weak subconvexity for $L$-functions
Establishes best known uniform bounds on newform correlation and decorrelation integrals, yielding effective holomorphic QUE and extending prior decorrelation results via refined weak subconvexity for Rankin-Selberg L-functions.
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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.