Sieving for mass equidistribution

Roman Holowinsky

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arXiv · 0809.1640

Sieving for mass equidistribution

Roman Holowinsky

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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.

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Roman Holowinsky. 2009-06-10. Sieving for mass equidistribution. https://arxiv.org/abs/0809.1640

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