2020/10/20 by Scott Osborne, Osborne, Scott, Garth Warner +1
Mathematics · #11F72 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2010.10642
openalex publication_date 2020/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this note is to announce the results of our investigation into the role played by the continuous spectrum in the development of the Selberg trace formula vis-à-vis a pair (G,Γ). For the sake of simplicity, we shall restrict ourselves to a "rank-2" situation, a case in point being when G = SL(3,ℝ), Γ= SL(3,ℤ). Full details (in all generality) will appear elsewhere.