Special values of Abelian \(L\)-functions at \(s=0\)

DOI10.1016/j.jnt.2008.06.016zbMath1166.11043OpenAlexW2050536942MaRDI QIDQ1019835

Caleb J. Emmons, Cristian D. Popescu

Publication date: 28 May 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.06.016

zbMATH Keywords

unitsclass groupsregulatorsglobal \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture ⋮ On a generalization of the rank one Rubin-Stark conjecture ⋮ THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS ⋮ On higher order Stickelberger-type theorems ⋮ An extension of the first-order Stark conjecture

Cites Work

• The Rubin-Stark conjecture for imaginary abelian fields of odd prime power conductor
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
• The Rubin--Stark conjecture for a special class of function field extensions
• Base change for Stark-type conjectures "over \mathbb{Z}"
• Computing Stark units for totally real cubic fields
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Special values of Abelian \(L\)-functions at \(s=0\)