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A class number formula for higher derivatives of abelian L-functions

Published online by Cambridge University Press:  04 December 2007

A. Hayward
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, UKanthony.hayward@kcl.ac.uk
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Abstract

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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.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2004