Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T22:49:04.826Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  04 December 2007

A. Hayward
A. Hayward
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

abelian L-functionsRubin–Stark conjectureGross's conjecturecyclotomic fields11R42 (primary)11R29 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 1 , January 2004 , pp. 99 - 129
Copyright
Foundation Compositio Mathematica 2004