Non-cyclic class groups and the Brumer-Stark conjecture

DOI10.1016/j.jnt.2011.05.016zbMath1276.11182OpenAlexW2027971394WikidataQ123328698 ScholiaQ123328698MaRDI QIDQ653664

Barry R. Smith

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.05.016

zbMATH Keywords

Artin \(L\)-functionBrumer-Stark conjecture

Mathematics Subject Classification ID

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

Cites Work

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• Über die Werte der Dedekindschen Zetafunktion
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• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• On the Rubin-Stark conjecture for a special class of CM extensions of totally real number fields.
• Galois groups of exponent two and the Brumer-Stark conjecture.
• The Brumer-Stark conjecture in some families of extensions of specified degree
• Corrigendum to “The Brumer-Stark conjecture in some families of extensions of specified degree”