Sieving for mass equidistribution

2008/09/09 by Roman Holowinsky, Holowinsky, Roman · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.0809.1640

Revised version

openalex publication_date 2008/09/09 · arxiv created 2009/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A Sieve Method for Shifted Convolution Sums

Cited by

• The shifted convolution problem for Fourier coefficients of Siegel modular forms of degree 2
• A Sieve Method for Shifted Convolution Sums

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