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V. Snaith (2002)
Algebraic K-Groups as Galois Modules
(2004)
Arithmetic annihilators and Stark-type conjectures
P. Cassou-Nogués (1979)
Valeurs aux entiers négatifs des fonctions zêta et fonctions zêtap-adiquesInventiones mathematicae, 51
(1977)
p-adic L-functions and Iwasawa's theory
C. Greither (2004)
Computing Fitting ideals of Iwasawa modulesMathematische Zeitschrift, 246
T. Do (1992)
Analogues supérieurs du noyau sauvageJournal de Theorie des Nombres de Bordeaux, 4
(1997)
Introduction to cyclotomic fields, 2nd edn, Graduate Texts
C. Siegel, K. Chandrasekharan, H. Maass (1979)
Über die Fourierschen Koeffizienten von Modulformen
(1992)
Analogues supérieurs du noyau sauvage’, Sémin
J. Coates, W. Sinnott (1974)
An analogue of Stickelberger's theorem for the higherK-groupsInventiones mathematicae, 24
P. Deligné, K. Ribet (1980)
Values of abelianL-functions at negative integers over totally real fieldsInventiones mathematicae, 59
A. Wiles (1990)
On a conjecture of BrumerAnnals of Mathematics, 131
C. Siegel, K. Chandrasekharan, H. Maass (1979)
Bernoullische Polynome und quadratische Zahlkörper
W. Dwyer, E. Friedlander (1985)
Algebraic and etale $K$-theoryTransactions of the American Mathematical Society, 292
(1977)
p-adic L-functions and Iwasawa’s theory’, Algebraic number fields: L-functions and Galois properties (ed. A
(1964)
Leopoldt, ‘Eine p-adische Theorie der Zetawerte
J. Coates, W. Sinnott (1977)
Integrality Properties of the Values of Partial Zeta FunctionsProceedings of The London Mathematical Society
Einige Eingenschaften der Dirichlet'schen Funktionen F (s) = (D/n)n −s , die bei der Bestimmung der Klassenanzahlen binärer quadratischer Formen auftreten
Kazuya Kato, D. Burns, C. Greither (2003)
Equivariant Weierstrass Preparation and Values of L-functions at Negative IntegersDocumenta Mathematica
C. Soulé (1979)
K-théorie des anneaux d'entiers de corps de nombres et cohomologie étaleInventiones mathematicae, 55
H. Leopoldt (1975)
Eine p-adische Theorie der Zetawerte. II.Journal für die reine und angewandte Mathematik (Crelles Journal), 1975
T. Do (2005)
Conjecture principale équivariante, idéaux de Fitting et annulateurs en théorie d'iwasawaJournal de Theorie des Nombres de Bordeaux, 17
M. Kurihara (2003)
Iwasawa theory and fitting idealsCrelle's Journal, 2003
J. Coates (1975)
Fonctions zêta partielles d'un corps de nombres totalement réel, 16
P. Schneider (1979)
Über gewisse GaloiscohomologiegruppenMathematische Zeitschrift, 168
J. Coates, W. Sinnott (2005)
On p-Adic L-Functions over Real Quadratic Fields
Grzegorz Banaszak (2003)
Higher analogues of Stickelberger's theoremComptes Rendus Mathematique, 337
Let K be a finite abelian extension of a totally real number field. The Brumer conjecture asserts that the Stickelberger element annihilates the ideal class group of K. In this article, we will prove under some assumptions that the conjecture implies the Coates–Sinnott conjecture which is an analogue of the Brumer conjecture for higher K‐groups.
Bulletin of the London Mathematical Society – Wiley
Published: Aug 1, 2009
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