A Brumer-Stark conjecture for non-abelian Galois extensions

DOI10.1016/j.jnt.2014.02.020zbMath1295.11125OpenAlexW2042831897WikidataQ123223932 ScholiaQ123223932MaRDI QIDQ403281

Gaelle Dejou, Xavier-François Roblot

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.02.020

zbMATH Keywords

Galois extensionsBrumer-Stark conjectureArtin \(L\)-functionsideal class group annihilators

Mathematics Subject Classification ID

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

Related Items (4)

Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields ⋮ On the semi-simple case of the Galois Brumer-Stark conjecture for monomial groups ⋮ Annihilating wild kernels ⋮ Conjectures of Brumer, Gross and Stark

Uses Software

• GAP

Cites Work

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• On non-abelian Stark-type conjectures
• On the equivariant Tamagawa number conjecture in tame CM-extensions
• On derivatives of Artin \(L\)-series
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• On the equivariant Tamagawa number conjecture for Tate motives
• Equivariant Iwasawa theory and non-abelian Stark-type conjectures
• Galois groups of exponent two and the Brumer-Stark conjecture.
• Base change for the conjecture of BrumerStark
• The Brumer-Stark conjecture in some families of extensions of specified degree
• On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions

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