Brumer elements over a real quadratic base field

zbMath0698.12007MaRDI QIDQ912146

David R. Hayes

Publication date: 1990

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

partial zeta functionStickelberger elementsintegral group ringspecial values of zeta functionsStark's conjectureabelian extensions of real quadratic number fieldBrumer elementsCF-formula

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)

Related Items (9)

Continued fractions, special values of the double sine function, and Stark units over real quadratic fields ⋮ Explicit computation of Gross-Stark units over real quadratic fields ⋮ Zeta functions for ideal classes in real quadratic fields, at \(s=0\) ⋮ Computing Stark units for totally real cubic fields ⋮ On the Fontaine-Mazur conjecture for number fields and an analogue for function fields ⋮ The Shintani cocycle. II: Partial \(\zeta\)-functions, cohomologous cocycles and \(p\)-adic interpolation ⋮ Verifying a \(p\)-adic abelian Stark conjecture at \(s=1\). ⋮ Computing $p$-adic $L$-functions of totally real number fields ⋮ Values of zeta functions at negative integers, Dedekind sums and toric geometry

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