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

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

2011-03-04

arxiv.org/abs/1103.0926v1

Mathematics

Number Theory

10 pages

Scientific paper

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.

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