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number > number theory > algebraic number theory > Brumer-Stark conjecture
number > number theory > analytic number theory > L-function > Brumer-Stark conjecture
mathematical analysis > complex analysis > meromorphic function > L-function > Brumer-Stark conjecture

Preferred term

Brumer-Stark conjecture  

Definition

  • The Brumer–Stark conjecture is a conjecture in algebraic number theory giving a rough generalization of both the analytic class number formula for Dedekind zeta functions, and also of Stickelberger's theorem about the factorization of Gauss sums. It is named after Armand Brumer and Harold Stark. It arises as a special case (abelian and first-order) of Stark's conjecture, when the place that splits completely in the extension is finite. There are very few cases where the conjecture is known to be valid. Its importance arises, for instance, from its connection with Hilbert's twelfth problem.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Brumer%E2%80%93Stark_conjecture)

Broader concept

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URI

http://data.loterre.fr/ark:/67375/PSR-CPCRL6LB-0

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RDF/XML TURTLE JSON-LD Created 8/18/23, last modified 8/18/23