On a conjecture of Brumer

DOI10.2307/1971470zbMath0719.11082OpenAlexW2086518100WikidataQ116141944 ScholiaQ116141944MaRDI QIDQ2639912

Andrew Wiles

Publication date: 1990

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971470

zbMATH Keywords

Stickelberger theoremBrumer's conjecturep-adic L-functionsIwasawa's conjecture

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (16)

Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory ⋮ Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ On the ideal class group on which the alternating group of degree five acts and special values of Artin \(L\)-functions ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ Stickelberger ideals and Fitting ideals of class groups for abelian number fields ⋮ Computing Stark units for totally real cubic fields ⋮ Higher analogues of Stickelberger's theorem. ⋮ The ideal class groups of dihedral extensions over imaginary quadratic fields and the special values of the Artin \(L\)-function ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions ⋮ On the equivariant Tamagawa number conjecture in tame CM-extensions, II ⋮ The Brumer-Stark conjecture in some families of extensions of specified degree ⋮ Stickelberger elements and Kolyvagin systems ⋮ On the Coates-Sinnott Conjecture ⋮ Iwasawa theory for class groups of CM fields with \(p = 2\) ⋮ On the special values of Artin \(L\)-functions for dihedral extensions ⋮ On the Brumer-Stark conjecture

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