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arXiv:1103.0926 [math.NT]AbstractReferencesReviewsResources

The $χ$-part of the analytic class number formula, for global function fields

Stéphane Viguié

Published 2011-03-04Version 1

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

Comments: 10 pages
Journal: Bulletin of the Polish Academy of Sciences, Mathematics, no.60, pp. 123-132 (2012)
Categories: math.NT
Subjects: 11R58, 11R29, 11M06
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