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Mass formula of division algebras over global function fields
期刊文章

Mass formula of division algebras over global function fields

Fu-Tsun WeiChia-Fu Yu
Journal of Number Theory, 卷.132(6), 頁碼.1170-1184
06/2012

摘要

Central division algebras Global function fields Mass formula Algebra and Number Theory
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. © 2012 Elsevier Inc..

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