Mass formula of division algebras over global function fields

Details Mass formula of division algebras over global function fields Mass formula of division algebras over global function fields

2011-02-27

arxiv.org/abs/1102.5465v2

Mathematics

Number Theory

14 pages, revised version

Scientific paper

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.

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