Refined class number formulas for \mathbb{G}_m
نویسندگان
چکیده
منابع مشابه
Refined Class Number Formulas and Kolyvagin Systems
We use the theory of Kolyvagin systems to prove (most of) a refined class number formula conjectured by Darmon. We show that for every odd prime p, each side of Darmon’s conjectured formula (indexed by positive integers n) is “almost” a p-adic Kolyvagin system as n varies. Using the fact that the space of Kolyvagin systems is free of rank one over Zp, we show that Darmon’s formula for arbitrary...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2016
ISSN: 1246-7405,2118-8572
DOI: 10.5802/jtnb.934