Equidistribution of cusp forms on \(\text{PSL}_ 2({\mathbb{Z}})\setminus \text{PSL}_ 2({\mathbb{R}})\)

DOI10.5802/aif.1588zbMath0868.43011OpenAlexW2324290803MaRDI QIDQ1360864

Dmitri Jakobson

Publication date: 22 July 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_3_967_0

zbMATH Keywords

Wigner functionEisenstein series\(L\)-functionscusp formsgeneralized hypergeometric functionsWigner distributionsequidistribution theorem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Quantum chaos (81Q50) Holomorphic modular forms of integral weight (11F11) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (3)

Quantum variance for Hecke eigenforms☆ ⋮ Quantitative quantum ergodicity and the nodal domains of Hecke-Maass cusp forms ⋮ Rigidity of multiparameter actions

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• Mean Lindelöf hypothesis and equidistribution of cusp forms and Eisenstein series
• Quantum unique ergodicity for Eisenstein series on \(PSL_ 2(\mathbb{Z}){\setminus}PSL_ 2(\mathbb{R})\)
• Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
• Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions: finite area surfaces
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