Mass formula of division algebras over global function fields

JOURNAL OF NUMBER THEORY

卷:132

Article

Wei, Fu-Tsun³  Yu, Chia-Fu^1,2 

[1] Acad Sinica, Inst Math, Taipei 10617, Taiwan

[2] NCTS Taipei Off, Taipei 10617, Taiwan

[3] Natl Tsing Hua Univ, Dept Math, Hsinchu 30013, Taiwan

关键词: Mass formula;    Global function fields;    Central division algebras;   

DOI  :  10.1016/j.jnt.2012.01.006

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free