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arXiv · 1102.5465

Mass formula of division algebras over global function fields

Fu-Tsun Wei·Chia-Fu Yu
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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.

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Fu-Tsun Wei, Chia-Fu Yu. 2011-02-27. Mass formula of division algebras over global function fields. https://arxiv.org/abs/1102.5465

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