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Subjects
11-XX Number theory
11Rxx Algebraic number theory: global fields
11R11 Quadratic extensions

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Displaying 1 – 19 of 19

Negatively reduced ideals in orders of real quadratic fields: even discriminants

Franz Halter-Koch, Philip Leonard (1996)

Colloquium Mathematicae

New computations concerning the Cohen-Lenstra heuristics.

te Riele, Herman, Williams, Hugh (2003)

Experimental Mathematics

New formulas for the class number of imaginary quadratic fields

Martin Eichler (1987)

Acta Arithmetica

New prime-producing quadratic polynomials associated with class number one or two.

Mollin, R.A. (2002)

The New York Journal of Mathematics [electronic only]

Nombres de classes des corps quadratiques imaginaires

Joseph Oesterlé (1983/1984)

Séminaire Bourbaki

Nombres de classes et formes modulaires de poids 3/2.

Don ZAGIER (1974/1975)

Seminaire de Théorie des Nombres de Bordeaux

Nombres de Hurwitz et régularité des idéaux premiers

Gilles Robert (1974/1975)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire

Gilles Robert (1978)

Annales scientifiques de l'École Normale Supérieure

Norm form equations and continued fractions.

Mollin, R.A. (2005)

Acta Mathematica Universitatis Comenianae. New Series

Norms from certain extensions of $F_{q} (T)$

Sudesh Gogia, Indar Luthar (1981)

Acta Arithmetica

Norms from Quadratic Fields and Their Relation to Noncommuting 2 x 2 Matrices III. A Link between the 4-rank of the Ideal Class Groups in...(..m) and in ...(...-m).

Olga Taussky (1977)

Mathematische Zeitschrift

Norms in Quadratic Fields and Their Relations to Non Commuting 2x2 Matrices I.

Olga Taussky (1976)

Monatshefte für Mathematik

Northcott's theorem on heights II. The quadratic case

Wolfgang M. Schmidt (1995)

Acta Arithmetica

Note on primes of type x2 + 32y2, class number, and residuacity.

H. Cohn, P. Barrucand (1969)

Journal für die reine und angewandte Mathematik

Note on the class-number of the maximal real subfield of a cyclomatic field.

Hiroyuki Osada (1987)

Manuscripta mathematica

Note on the congruence of Ankeny-Artin-Chowla type modulo p²

Stanislav Jakubec (1998)

Acta Arithmetica

The results of [2] on the congruence of Ankeny-Artin-Chowla type modulo p² for real subfields of $ℚ (ζ_{p})$ of a prime degree l is simplified. This is done on the basis of a congruence for the Gauss period (Theorem 1). The results are applied for the quadratic field ℚ(√p), p ≡ 5 (mod 8) (Corollary 1).

Note on the Hilbert 2-class field tower

Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini (2022)

Mathematica Bohemica

Let $k$ be a number field with a 2-class group isomorphic to the Klein four-group. The aim of this paper is to give a characterization of capitulation types using group properties. Furthermore, as applications, we determine the structure of the second 2-class groups of some special Dirichlet fields $𝕜 = ℚ (\sqrt{d}, \sqrt{- 1})$ , which leads to a correction of some parts in the main results of A. Azizi and A. Zekhini (2020).

Notes on small class numbers

H. Montgomery, P. Weinberger (1974)

Acta Arithmetica

Numbers with all factorizations of the same length in a quadratic number field

W. Narkiewicz (1981)

Colloquium Mathematicae

Currently displaying 1 – 19 of 19

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