EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 241 – 260 of 461

On elementary abelian 2-Sylow K₂ of rings of integers of certain quadratic number fields

P. E. Conner, J. Hurrelbrink (1995)

Acta Arithmetica

A large number of papers have contributed to determining the structure of the tame kernel $K ₂_{F}$ of algebraic number fields F. Recently, for quadratic number fields F whose discriminants have at most three odd prime divisors, 4-rank formulas for $K ₂_{F}$ have been made very explicit by Qin Hourong in terms of the indefinite quadratic form x² - 2y² (see [7], [8]). We have made a successful effort, for quadratic number fields F = ℚ (√(±p₁p₂)), to characterize in terms of positive definite binary quadratic forms,...

On expansions of Gaussian integers with non-negative digits.

Kovács, Attila (1999)

Mathematica Pannonica

On extensions of 1 chains

Erik Dofs (1993)

Acta Arithmetica

On Hilbert-Speiser type imaginary quadratic fields

Humio Ichimura, Hiroki Sumida-Takahashi (2009)

Acta Arithmetica

On integral representations by totally positive ternary quadratic forms

Elise Björkholdt (2000)

Journal de théorie des nombres de Bordeaux

Let $K$ be a totally real algebraic number field whose ring of integers $R$ is a principal ideal domain. Let $f (x_{1}, x_{2}, x_{3})$ be a totally definite ternary quadratic form with coefficients in $R$ . We shall study representations of totally positive elements $N \in R$ by $f$ . We prove a quantitative formula relating the number of representations of $N$ by different classes in the genus of $f$ to the class number of $R [\sqrt{- c_{f} N}]$ , where $c_{f} \in R$ is a constant depending only on $f$ . We give an algebraic proof of a classical result of H. Maass on representations...

On K2 (...) and presentations of SLn (...) in the real quadratic case.

Jürgen Hurrelbrink (1980)

Journal für die reine und angewandte Mathematik

On numbers with a unique representation by a binary quadratic form

Mariusz Skałba (1993)

Acta Arithmetica

On p-Adic L-Functions over Real Quadratic Fields.

J. Coates, W. Sinnot (1974)

Inventiones mathematicae

On power residue characters of units and the representation of numbers by quadratic forms

Giorgos Siligardos (2001)

Acta Arithmetica

On real quadratic number fields suitable for cryptography.

Schielzeth, Daniel, Pohst, Michael E. (2005)

Experimental Mathematics

On reciprocity equivalence of quadratic number fields

Alfred Czogała (1991)

Acta Arithmetica

On representations of numbers by sums of squares and quadratic fields

I. Sh. Slavutsky (1977)

Archivum Mathematicum

On shifted primes

E. Fogels (1975)

Acta Arithmetica

On some class-fields related to primes of type x2 + 32y2.

Harvey Cohn, P. Barrucand (1973)

Journal für die reine und angewandte Mathematik

On some imaginary triquadratic number fields $k$ with ${Cl}_{2} (k) ≃ (2, 4)$ or $(2, 2, 2)$

Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini (2021)

Commentationes Mathematicae Universitatis Carolinae

Let $d$ be a square free integer and $L_{d} : = ℚ (ζ_{8}, \sqrt{d})$ . In the present work we determine all the fields $L_{d}$ such that the $2$ -class group, ${Cl}_{2} (L_{d})$ , of $L_{d}$ is of type $(2, 4)$ or $(2, 2, 2)$ .

On some metabelian 2-groups and applications I

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous (2016)

Colloquium Mathematicae

Let G be some metabelian 2-group satisfying the condition G/G’ ≃ ℤ/2ℤ × ℤ/2ℤ × ℤ/2ℤ. In this paper, we construct all the subgroups of G of index 2 or 4, we give the abelianization types of these subgroups and we compute the kernel of the transfer map. Then we apply these results to study the capitulation problem for the 2-ideal classes of some fields k satisfying the condition $G a l (k ₂^{(2)} / k) ≃ G$ , where $k ₂^{(2)}$ is the second Hilbert 2-class field of k.

On Sylow 2-subgroups of K2OF for quadratic number fields F.

A. Schinzel, J. Browkin (1982)

Journal für die reine und angewandte Mathematik

On Tate-Shafarevich groups of $y^{2} = x (x^{2} - k^{2})$ .

Lemmermeyer, F., Mollin, R. (2003)

Acta Mathematica Universitatis Comenianae. New Series

On the $2$ -class group of some number fields with large degree

Mohamed Mahmoud Chems-Eddin, Abdelmalek Azizi, Abdelkader Zekhnini (2021)

Archivum Mathematicum

Let $d$ be an odd square-free integer, $m \geq 3$ any integer and $L_{m, d} : = ℚ (ζ_{2^{m}}, \sqrt{d})$ . In this paper, we shall determine all the fields $L_{m, d}$ having an odd class number. Furthermore, using the cyclotomic $ℤ_{2}$ -extensions of some number fields, we compute the rank of the $2$ -class group of $L_{m, d}$ whenever the prime divisors of $d$ are congruent to $3$ or $5 (mod 8)$ .

On the 2-primary part of a conjecture of Birch and Tate

Jerzy Urbanowicz (1983)

Acta Arithmetica

Currently displaying 241 – 260 of 461

Previous Page 13 Next