English

Sieving for mass equidistribution

Number Theory 2009-06-11 v3

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.

Keywords

Cite

@article{arxiv.0809.1640,
  title  = {Sieving for mass equidistribution},
  author = {Roman Holowinsky},
  journal= {arXiv preprint arXiv:0809.1640},
  year   = {2009}
}

Comments

Revised version

R2 v1 2026-06-21T11:18:31.182Z