2011/02/27 by Fu-Tsun Wei, Fu‐Tsun Wei, Wei, Fu-Tsun +3
Mathematics · #11R52 #11R58 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.NT #msc:11R52 #msc:11R58
paper · pdf · doi:10.48550/arxiv.1102.5465
14 pages, revised version
openalex publication_date 2011/02/27 · arxiv created 2011/06/09 · arxiv updated 2011/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we give two proofs of the mass formula for definite central division algebras over global function fields, due to Denert and Van Geel. The first proof is based on a calculation of Tamagawa measures. The second proof is based on analytic methods, in which we establish the relationship directly between the mass and the value of the associated zeta function at zero.