Zeta functions and the trace formula

DOI10.4171/197-1/14zbMath1473.11097OpenAlexW2951269197MaRDI QIDQ776408

Werner Hoffmann

Publication date: 9 July 2020

Full work available at URL: https://doi.org/10.4171/197-1/14

zbMATH Keywords

prehomogeneous vector spacesArthur-Selberg trace formulazeta integrals

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Prehomogeneous vector spaces (11S90)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the continuity of the geometric side of the trace formula
• On the unipotent contribution in Arthur's trace formula for general linear groups
• The adèlic zeta function associated to the space of binary cubic forms. I: Global theory
• On zeta functions associated with prehomogeneous vector spaces
• Problems beyond endoscopy
• Simple calculation of the residues of the adelic zeta function associated with the space of binary cubic forms
• The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group \(G_2\)
• Zeta functions of simple algebras
• The Selberg trace formula for groups of F-rank one
• The Trace Formula and Prehomogeneous Vector Spaces
• The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
• Some Results on p-Adic Complex Powers
• The non-semi-simple term in the trace formula for rank one lattices.
• Induced Unipotent Classes
• Convergence of the zeta functions of prehomogeneous vector spaces
• Sur certaines contributions unipotentes dans la formule des traces d'Arthur
• On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms