Sieving for mass equidistribution

Abstract

We approach the holomorphic analogue to the Quantum Unique Ergodicity conjecture through an application of the Large Sieve. We deal with shifted convolution sums as in ([Ho], arXiv:0809.1669), with various simplifications in our analysis due to the knowledge of the Ramanujan-Petersson conjecture in this holomorphic case.

Revised version

References in corpus (1)

• Weak subconvexity for central values of $L$-functions