The Selberg trace formula for 𝑃𝑆𝐿₂(𝑅)ⁿ

DOI10.1090/memo/0359zbMath0607.10023OpenAlexW2068769694MaRDI QIDQ3745905

Isaac Efrat

Publication date: 1987

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0359

zbMATH Keywords

discrete subgroupsSelberg trace formulaHilbert modular groupPSL(2, \({bbfR})^ n\)

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (16)

Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂ ⋮ On the convergence of arithmetic orbifolds ⋮ Minimal parabolic terms in the Selberg trace formula for SL(3,\({\mathbb{Z}})\setminus SL(3,{\mathbb{R}})/SO(3,{\mathbb{R}})\) ⋮ The character of \(\mathrm{GL}(2)\) automorphic forms ⋮ Selberg type zeta function for the Hilbert modular group of a real quadratic field ⋮ A TRACE FORMULA FOR HECKE OPERATORS ON VECTOR-VALUED MODULAR FORMS ⋮ Hybrid trace formula for a non-uniform irreducible lattice in \(\mathrm{PSL}_2(\mathbb R)^n\) ⋮ Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces ⋮ A Voronoi-Oppenheim summation formula for totally real number fields ⋮ The Determinant of the Eisenstein Matrix and Hilbert Class Fields ⋮ Trace formulae and applications to class numbers ⋮ Density results for automorphic forms on Hilbert modular groups II ⋮ Strong spectral gaps for compact quotients of products of \(\text{PSL}(2,\mathbb R)\) ⋮ Distribution of cusp sections in the Hilbert modular orbifold ⋮ Dynamics of the continued fraction map and the spectral theory of \(\text{SL}(2,\mathbb{Z})\) ⋮ Fourier expansion of Eisenstein series on the Hilbert modular group and Hilbert class fields

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