Quantitative version of the joint distribution of eigenvalues of the Hecke operators

Yuk-Kam Lau, Yingnan Wang

Type: Article

Publication Date: 2011-08-05

Citations: 19

DOI: https://doi.org/10.1016/j.jnt.2011.05.014

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Journal of Number Theory - View

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+	On the exceptional set of the generalized Ramanujan conjecture for GL(3)	2021	Yuk-Kam Lau Ming Ho Ng Yingnan Wang
+ PDF Chat	Fluctuations in the Distribution of Hecke Eigenvalues about the Sato–Tate Measure	2017	Neha Prabhu Kaneenika Sinha
+ PDF Chat	THE QUANTITATIVE DISTRIBUTION OF HECKE EIGENVALUES	2014	Yingnan Wang
+	Quantitative versions of the joint distributions of Hecke eigenvalues	2016	Hengcai Tang Yingnan Wang
+ PDF Chat	Plancherel Distribution of Satake Parameters of Maass Cusp Forms on GL3	2018	Jack Buttcane Zhou Fan
+ PDF Chat	Weighted Sato–Tate Vertical Distribution of the Satake Parameter of Maass Forms on PGL(N)	2014	Zhou Fan
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Works Cited by This (17)

Action	Title	Year	Authors
+	Statistical Properties of Eigenvalues of the Hecke Operators	1987	Peter Sarnak
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim
+	Area, Lattice Points, and Exponential Sums	1996	M. N. Huxley
+	Note on a Diophantine inequality in several variables	2000	Jeffrey Barton Hugh L. Montgomery Jeffrey D. Vaaler
+ PDF Chat	Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝	1997	Jean-Pierre Serre
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+ PDF Chat	The distribution of the eigenvalues of Hecke operators	1997	J. Brian Conrey William Duke David W. Farmer
+	The spectral growth of automorphic L-functions.	1992	Henryk Iwaniec
+	Kloosterman sums and Fourier coefficients of cusp forms	1982	Jean-Marc Deshouillérs Henryk Iwaniec
+	PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS	1981	N V Kuznecov