On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

DOI10.1090/memo/1224zbMath1442.11002arXiv1310.0541OpenAlexW2963028345WikidataQ129430833 ScholiaQ129430833MaRDI QIDQ4645891

Werner Hoffmann, Satoshi Wakatsuki

Publication date: 11 January 2019

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

Full work available at URL: https://arxiv.org/abs/1310.0541

zbMATH Keywords

symplectic groupsArthur trace formula

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Analysis on real and complex Lie groups (22E30) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Zeta functions and (L)-functions of number fields (11R42) Analysis on (p)-adic Lie groups (22E35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Prehomogeneous vector spaces (11S90)

Related Items (8)

The Shintani double zeta functions ⋮ The dimensions of spaces of Siegel cusp forms of general degree ⋮ On the continuity of the geometric side of the trace formula ⋮ On the unipotent contribution in Arthur's trace formula for general linear groups ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮ Zeta functions and the trace formula ⋮ Bounds for global coefficients in the fine geometric expansion of Arthur's trace formula for GL(\(n\)) ⋮ Analytic torsion for arithmetic locally symmetric manifolds and approximation of \(L^2\)-torsion

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