On the Arthur-Selberg trace formula for \(\mathrm{GL}(2)\)

DOI10.4171/GGD/132zbMath1268.11069arXiv1308.3604OpenAlexW2157202945MaRDI QIDQ664238

Tobias Finis, Erez M. Lapid

Publication date: 29 February 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3604

zbMATH Keywords

trace formulaSchwartz space

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on (p)-adic Lie groups (22E35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (11)

A nonabelian trace formula ⋮ Fields of rationality of cusp forms ⋮ Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions ⋮ Families of L-Functions and Their Symmetry ⋮ On the spectral side of Arthur's trace formula -- absolute convergence ⋮ On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 ⋮ On the unipotent contribution in Arthur's trace formula for general linear groups ⋮ On the remainder term of the Weyl law for congruence subgroups of Chevalley groups ⋮ Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms ⋮ Bias of root numbers for Hilbert newforms of cubic level ⋮ Quantitative analysis of the Satake parameters of \mathrm GL₂representations with prescribed local representations

Cites Work

• Unnamed Item
• Formules limites et formules asymptotiques pour les multiplicités dans \(L^ 2(G/\Gamma)\). (Limit formulas and asymptotic formulas for the multiplicities in \(L^ 2(G/\Gamma))\)
• Spectra of compact locally symmetric manifolds of negative curvature
• Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• A measure on the Unipotent Variety
• On a Family of Distributions obtained from Orbits

This page was built for publication: On the Arthur-Selberg trace formula for \(\mathrm{GL}(2)\)