Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415682 | Journal of Number Theory | 2011 | 15 Pages |
Abstract
For a torus T defined over a global field K, we revisit an analytic class number formula obtained by Shyr in the 1970s as a generalization of Dirichletʼs class number formula. We prove a local-global presentation of the quasi-discriminant of T, which enters into this formula, in terms of cocharacters of T. This presentation can serve as a more natural definition of this invariant.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Rony A. Bitan,