The analogue of the Gauss class number problem in motivic cohomology

DOI10.1007/s40316-013-0006-7zbMath1350.11097OpenAlexW2076670772MaRDI QIDQ743709

Manfred Kolster, Caroline Junkins

Publication date: 30 September 2014

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11375/9119

zbMATH Keywords

Iwasawa theoryalgebraic \(K\)-theorymotivic cohomologyGauss problemspecial values of zeta-functions

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) (K)-theory of global fields (11R70) Motivic cohomology; motivic homotopy theory (14F42)

Related Items

The p-adic Coates–Sinnott Conjecture over maximal orders

Uses Software

• PARI/GP
• SageMath

Cites Work

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• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Motivic cohomology over Dedekind rings
• Über die Werte der Dedekindschen Zetafunktion
• Class fields of abelian extensions of \(\mathbb Q\)
• Heegner points and derivatives of \(L\)-series
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• On the wild kernel
• Relations between \(K_2\) and Galois cohomology
• Galois structure of \(K\)-groups of rings of integers
• On the \(K\)-theory of local fields
• Higher relative class number formulae
• Galois co-descent for étale wild kernels and capitulation
• A database of local fields
• A complete determination of the complex quadratic fields of class-number one
• The Iwasawa conjecture for totally real fields
• The Gauss higher relative class number problem
• Gauss’ class number problem for imaginary quadratic fields
• ON A THEOREM OF HUREWICZ AND $ K$-THEORY OF COMPLETE DISCRETE VALUATION RINGS
• Class numbers of imaginary quadratic fields
• Two-primary algebraic 𝐾-theory of rings of integers in number fields
• The spectral sequence relating algebraic K-theory to motivic cohomology
• Enumeration of Totally Real Number Fields of Bounded Root Discriminant
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results