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A class number formula for higher derivatives of abelian L-functions
Published online by Cambridge University Press: 04 December 2007
Abstract
Gross and Rubin have made conjectures about special values of equivariant L-functions associated to abelian extensions of global fields. We describe a common refinement, due to Burns, and give evidence in favour of this conjecture for quadratic extensions and cyclotomic fields. We also note that the statement provides a new interpretation of further conjectures of Darmon and Gross.
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- Research Article
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- Foundation Compositio Mathematica 2004
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