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Displaying 41 – 60 of 84

On the 2-primary part of K₂ of rings of integers in certain quadratic number fields

A. Vazzana (1997)

Acta Arithmetica

1. Introduction. For quadratic fields whose discriminant has few prime divisors, there are explicit formulas for the 4-rank of $K ₂_{E}$ . For quadratic fields whose discriminant has arbitrarily many prime divisors, the formulas are less explicit. In this paper we will study fields of the form $ℚ (\sqrt (p ₁ . . . p_{k}))$ , where the primes $p_{i}$ are all congruent to 1 mod 8. We will prove a theorem conjectured by Conner and Hurrelbrink which examines under what conditions the 4-rank of $K ₂_{E}$ is zero for such fields. In the course of proving...

On the 2-Sylow subgroup of the Hilbert kernel of $K_{2}$ of number fields

Alan Candiotti, Kenneth Kramer (1989)

Acta Arithmetica

On the 4-rank of tame kernels of quadratic number fields

Xuejun Guo (2009)

Acta Arithmetica

On the cyclotomic elements in K₂ of a rational function field

Kejian Xu, Chaochao Sun, Shanjie Chi (2014)

Acta Arithmetica

If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.

On the elements of prime power order in K₂ of a number field

Kejian Xu (2007)

Acta Arithmetica

On the equivariant main conjecture of Iwasawa theory

Malte Witte (2006)

Acta Arithmetica

On the non-torsion elements in the algebraic K-theory of rings of integers.

Dominique Arlettaz, Grzegorz Banaszak (1995)

Journal für die reine und angewandte Mathematik

On the odd part of tame kernels of biquadratic number fields

Haiyan Zhou (2010)

Acta Arithmetica

On the structure of Milnor $K$ -groups of certain complete discrete valuation fields

Masato Kurihara (2004)

Journal de Théorie des Nombres de Bordeaux

For a typical example of a complete discrete valuation field $K$ of type II in the sense of [12], we determine the graded quotients ${gr}^{i} K_{2} (K)$ for all $i > 0$ . In the Appendix, we describe the Milnor $K$ -groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.

On the zeta function of a complete intersection

Alan Adolphson, Steven Sperber (1996)

Annales scientifiques de l'École Normale Supérieure

On two-primary algebraic K-theory of quadratic number rings with focus on K₂

Marius Crainic, Paul Arne Østvær (1999)

Acta Arithmetica

p-adic periods and modular symbols of elliptic curves of prime conductor.

Ehud de Shalit (1995)

Inventiones mathematicae

Polylogarithmes

Joseph Oesterlé (1992/1993)

Séminaire Bourbaki

Real Grassmann polylogarithms and Chern classes.

Richard M. Hain, Yang Jun (1996)

Mathematische Annalen

Régulateurs

Christophe Soulé (1984/1985)

Séminaire Bourbaki

Relations between K2 and Galois Cohomology.

John Tate (1976)

Inventiones mathematicae

Remarques sur les différentielles des polylogarithmes uniformes

Jean-Louis Cathelineau (1996)

Annales de l'institut Fourier

On étudie des équations fonctionnelles pour les différentielles des polylogarithmes uniformes. Un des ingrédients est l’analogue infinitésimal d’un complexe introduit par Goncharov. On obtient en particulier une équation fonctionnelle à 22 termes pour la différentielle du trilogarithme.

Currently displaying 41 – 60 of 84

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Displaying 41 – 60 of 84

On the 2-primary part of K₂ of rings of integers in certain quadratic number fields

On the 2-Sylow subgroup of the Hilbert kernel of $K_{2}$ of number fields

On the 4-rank of tame kernels of quadratic number fields

On the cyclotomic elements in K₂ of a rational function field

On the elements of prime power order in K₂ of a number field

On the equivariant main conjecture of Iwasawa theory

On the non-torsion elements in the algebraic K-theory of rings of integers.

On the odd part of tame kernels of biquadratic number fields

On the structure of Milnor $K$ -groups of certain complete discrete valuation fields

On the zeta function of a complete intersection

On two-primary algebraic K-theory of quadratic number rings with focus on K₂

p-adic periods and modular symbols of elliptic curves of prime conductor.

Polylogarithmes

Real Grassmann polylogarithms and Chern classes.

Régulateurs

Relations between K2 and Galois Cohomology.

Remarques sur les différentielles des polylogarithmes uniformes

Some remarks on conjectures about cyclotomic fields and $K$ -groups of $𝐙$

Subrings in imaginary quadratic fields which are not universal for GE₂

Tame kernels of cubic cyclic fields

Currently displaying 41 – 60 of 84