Article ID Journal Published Year Pages File Type
4594401 Journal of Number Theory 2012 15 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory