Roman Holowinsky
Published 2008-09-09, updated 2009-06-10Version 3
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.
Comments: Revised version
Averages of shifted convolution sums for $GL(3) \times GL(2)$
The large sieve, monodromy and zeta functions of algebraic curves, II: independence of the zeros
Shifted convolution sums motivated by string theory
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