Base change for higher Stickelberger ideals

DOI10.1006/jnth.1998.2283zbMath0919.11078OpenAlexW1979377448MaRDI QIDQ1277201

Jonathan W. Sands

Publication date: 3 June 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2283

zbMATH Keywords

abelian extensionsBrumer-Stark conjectureQuillen \(K\)-groupshigher Stickelberger ideals

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) (K)-theory of global fields (11R70)

Related Items (3)

VALUES AT s = -1 OF L-FUNCTIONS FOR MULTI-QUADRATIC EXTENSIONS OF NUMBER FIELDS, AND THE FITTING IDEAL OF THE TAME KERNEL ⋮ Divisibility properties of values of partial zeta functions at non-positive integers ⋮ The canonical fractional Galois ideal at \(s = 0\)

Cites Work

• Values of abelian \(L\)-functions at negative integers over totally real fields
• An analogue of Stickelberger's theorem for the higher K-groups
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Base change for Stark-type conjectures "over \mathbb{Z}"
• Integrality Properties of the Values of Partial Zeta Functions
• Base change for the conjecture of BrumerStark
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