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We formulate a conjecture which generalizes Darmon's "refined class numberformula". We discuss relations between our conjecture and the equivariantleading term conjecture of Burns. As an application, we give another proof ofthe "except 2-part" of Darmon's conjecture, which was first proved by Mazur andRubin.

Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns