The χ-part of the Analytic Class Number Formula, for Global Function Fields
Stéphane Viguié
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012), p. 113-122 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place ∞ of k. We show that a complex Gras conjecture holds for Stark units, and we derive a refined analytic class number formula.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281288 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-2,
     author = {St\'ephane Vigui\'e},
     title = {The $\chi$-part of the Analytic Class Number Formula, for Global Function Fields},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {60},
     year = {2012},
     pages = {113-122},
     zbl = {1295.11130},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-2}
}

Stéphane Viguié. The χ-part of the Analytic Class Number Formula, for Global Function Fields. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 113-122. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-2/