Title
Numerical Verification of the Brumer-Stark Conjecture
Abstract
IntroductionThe construction of group ring elements that annihilate the ideal class groupsof totally complex abelian extensions of Q is classical and goes back to work ofKummer and Stickelberger. A generalization to totally complex abelian extensionsof totally real number fields was formulated by Brumer. Brumer's formulationfits into a more general framework known as the Brumer-Stark conjecture.We will verify this conjecture for a large number of examples belongingto an extended class...
Year
DOI
Venue
2000
10.1007/10722028_32
ANTS
Keywords
Field
DocType
brumer-stark conjecture,numerical verification,group ring
Discrete mathematics,Abelian group,General status,Group ring,Lonely runner conjecture,Real number,Conjecture,Collatz conjecture,Numerical verification,Mathematics
Conference
Volume
ISSN
ISBN
1838
0302-9743
3-540-67695-3
Citations 
PageRank 
References 
1
0.52
5
Authors
2
Name
Order
Citations
PageRank
Xavier-François Roblot1124.71
Brett A. Tangedal2144.80