Quantum unique ergodicity of Eisenstein series on the Hilbert modular group over a totally real field

DOI10.1515/FORM.2011.031zbMath1282.11047arXiv0706.4239OpenAlexW2963301849MaRDI QIDQ3093163

Jimi L. Truelsen

Publication date: 12 October 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4239

zbMATH Keywords

Eisenstein seriesHilbert modular groupquantum unique ergodicity

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (2)

Quantum limits of Eisenstein series in ℍ³ ⋮ On sup-norm bounds. II: \(\mathrm{GL}(2)\) Eisenstein series

Uses Software

• GL(n)pack

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• Hybrid bounds for Dirichlet L-functions
• The behaviour of eigenstates of arithmetic hyperbolic manifolds
• An upper bound for Hecke zeta-functions with Groessencharacters
• Fourier expansion of Eisenstein series on the Hilbert modular group and Hilbert class fields
• Spectral Multiplicity on Products of Hyperbolic Spaces
• Spectra of hyperbolic surfaces
• A zero‐free region for the Hecke L ‐functions
• Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds
• Quantum unique ergodicity for \(\text{SL}_2 (\mathcal O)\backslash\mathbb{H}^3\) and estimates for \(L\)-functions

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