Bounds for global coefficients in the fine geometric expansion of Arthur's trace formula for GL(\(n\))

DOI10.1007/s11856-014-1123-yzbMath1337.11033arXiv1308.5392OpenAlexW1972558216MaRDI QIDQ2339735

Jasmin Matz

Publication date: 2 April 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5392

zbMATH Keywords

spectral datareductive groupweighted orbital integralssemisimple elementsArthur's trace formula

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (8)

An approximation principle for congruence subgroups. II: Application to the limit multiplicity problem ⋮ Distribution of Hecke Eigenvalues for GL(n) ⋮ Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\) ⋮ On the unipotent contribution in Arthur's trace formula for general linear groups ⋮ APPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACE ⋮ Limit multiplicities for \({\text{SL}}_2(\mathcal{O}_F)\) in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})\) ⋮ Analytic torsion for arithmetic locally symmetric manifolds and approximation of \(L^2\)-torsion ⋮ Low-lying zeros of \(L\)-functions for quaternion algebras

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