A numerical study of the relative class numbers of real quadratic integral domains

Author:

Cohn Harvey

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference8 articles.

1. A numerical study of Dedekind’s cubic class number formula;Cohn, Harvey;J. Res. Nat. Bur. Standards,1957

2. On the semigroup of ideal classes in an order of an algebraic number field;Dade, E. C.;Bull. Amer. Math. Soc.,1961

3. R. Dedekind, “Über die Anzahl der Idealklassen in reinen kübischer Zahlkörpern,” J. Reine Angew. Math., v. 121, 1900, p. 40-123.

4. P. G. L. Dirichlet, “Une propriete des formes quadratiques a determinant positive,” J. Math. Pures Appl. Ser II, v. 1, 1856, p. 76-79.

5. R. Fueter, Vorlesungen über die singulären Moduln und die komplexe Multiplikation der elliptischen Funktionen, v. 1, II Leipzig-Berlin, 1924. (This work gives the classic application of relative class structures concisely.)

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1. Half-factorial domains and quadratic orders;International Journal of Number Theory;2016-02-18

2. Quartic residuacity and the quadratic character of certain quadratic irrationalities;International Journal of Number Theory;2015-11-05

3. On Dirichletʼs conjecture on relative class number one;Journal of Number Theory;2012-07

4. Worst-case complexity bounds for algorithms in the theory of integral quadratic forms;Journal of Algorithms;1980-06

5. On the cubic character of quadratic units;Journal of Number Theory;1973-10

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