The $\chi $-part of the Analytic Class Number Formula, for Global Function Fields
Volume 60 / 2012
Bulletin Polish Acad. Sci. Math. 60 (2012), 113-122
MSC: 11R58, 11R29, 11M06.
DOI: 10.4064/ba60-2-2
Abstract
Let $F/k$ be a finite abelian extension of global function fields, totally split at a distinguished place $\infty $ of $k$. We show that a complex Gras conjecture holds for Stark units, and we derive a refined analytic class number formula.
