The Brumer-Stark conjecture in some families of extensions of specified degree

DOI10.1090/S0025-5718-03-01565-5zbMath1094.11043OpenAlexW2051718038WikidataQ122884359 ScholiaQ122884359MaRDI QIDQ4433133

Brett A. Tangedal, Cornelius Greither, Xavier-François Roblot

Publication date: 29 October 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01565-5

zbMATH Keywords

algebraic number fieldsBrumer-Stark conjecture

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Totally real fields (11R80)

Related Items (9)

Computing annihilators of class groups from derivatives of $L$-functions ⋮ Explicit computation of Gross-Stark units over real quadratic fields ⋮ A Brumer-Stark conjecture for non-abelian Galois extensions ⋮ On non-abelian Stark-type conjectures ⋮ Non-cyclic class groups and the Brumer-Stark conjecture ⋮ On the semi-simple case of the Galois Brumer-Stark conjecture for monomial groups ⋮ The Galois Brumer–Stark conjecture for SL2(𝔽3)-extensions ⋮ On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions ⋮ Corrigendum to “The Brumer-Stark conjecture in some families of extensions of specified degree”

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über die Werte der Dedekindschen Zetafunktion
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• On the class groups of imaginary abelian fields
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• An equivariant version of an index formula of Fröhlich and McCulloh
• Some cases of Brumer's conjecture for abelian CM extensions of totally real fields
• On a conjecture of Brumer
• Stark's Conjectures and Hilbert's Twelfth Problem
• Galois groups of exponent two and the Brumer-Stark conjecture.
• Base change for the conjecture of BrumerStark
• Advanced Topics in Computional Number Theory

This page was built for publication: The Brumer-Stark conjecture in some families of extensions of specified degree