Variations of mass formulas for definite division algebras

2013/04/23 by Chia‐Fu Yu, Chia-Fu Yu, Yu, Chia-Fu
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1304.6175

17 pages

openalex publication_date 2013/04/23 · arxiv created 2014/08/23 · arxiv updated 2014/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to organize some known mass formulas arising from a definite central division algebra over a global field and to deduce some more new ones.

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• Mass formula of division algebras over global function fields
• Some group theoretical mass formulae
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• Mass formulas for local Galois representations