Quantum variance for Hecke eigenforms
By Wenzhi Luo, Peter Sarnak. 2004
73 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/90083bcbdf3264fdd0b2aae4ec6ca0e171902aa1
How researchers see this paper
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In Algebra and Number Theory
- Kannan Soundararajan
- M. Young
- Maksym Radziwill
- R. Holowinsky
- Paul D. Nelson
- Adam J Harper
- Alexandra Florea
- W. Heap
In Applied Mathematics
- Maksym Radziwill
- M. Young
- Kannan Soundararajan
- R. Holowinsky
- Nathan Ng
- Christoph Aistleitner
- Ian Petrow
- Andriy V. Bondarenko
Citations in the corpus
- The quantum unique ergodicity conjecture for thin sets (2013, background): “exity bound for the L-function then barely fails to prove (1.1) and a subconvexity bound would succeed. The Lindel¨of hypothesis is known to give an optimal error term by work of Luo and Sarnak [LS1] [LS3]. It is a common theme, nicely illustrated in this example, that subconvexity and equidistribut”
- Mass equidistribution for Hecke eigenforms (2008, background): “N T ] 9 S ep 2 00 8 MASS EQUIDISTRIBUTION FOR HECKE EIGENFORMS”
- Moments and distribution of central L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L$$\end{document}-values of quadr (2014, background): “The mean of this quantity is approximately zero, and its variance is calculated in Zhao [33] (see also [23,29] for a holomorphic analog).”