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

DOI10.1112/S0010437X03000265zbMath1060.11075OpenAlexW1996930771MaRDI QIDQ4463564

Anthony Hayward

Publication date: 27 May 2004

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x03000265

zbMATH Keywords

cyclotomic fieldsGross's conjectureRubin-Stark conjectureabelian L-functions

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (10)

Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns ⋮ Linear forms on Sinnott's module ⋮ A random cloud algorithm for the Schrödinger equation ⋮ Annihilators of minus class groups of imaginary Abelian fields ⋮ Generalized inverse mean curvature flows in spacetime ⋮ On Tate's refinement for a conjecture of Gross and its generalization ⋮ On a modification of the group of circular units of a real abelian field ⋮ Generalized Stark formulae over function fields ⋮ The Minus Conjecture revisited

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