Sieving for mass equidistribution

Details Sieving for mass equidistribution Sieving for mass equidistribution

2008-09-09

arxiv.org/abs/0809.1640v3

Mathematics

Number Theory

Revised version

Scientific paper

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.

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