On the spectral large sieve inequality for symmetric-squares
Author:
Affiliation:
1. Department of Mathematics , Texas A&M University , College Station , TX 77843-3368 , USA
Abstract
Funder
National Science Foundation
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/forum-2022-0229/pdf
Reference22 articles.
1. V. Blomer, Applications of the Kuznetsov formula on G L ( 3 ) GL(3) , Invent. Math. 194 (2013), no. 3, 673–729.
2. V. Blomer and J. Buttcane, Global decomposition of GL ( 3 ) {\rm GL}(3) Kloosterman sums and the spectral large sieve, J. Reine Angew. Math. 757 (2019), 51–88.
3. W. Duke and E. Kowalski, A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations, Invent. Math. 139 (2000), no. 1, 1–39.
4. A. Dunn and M. Radziwiłł, Bias in cubic Gauss sums: Patterson’s conjecture, preprint (2021), https://arxiv.org/abs/2109.07463.
5. P. X. Gallagher, A large sieve density estimate near σ = 1 \sigma=1 , Invent. Math. 11 (1970), 329–339.
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