PlanetMath: class numbers of imaginary quadratic fields

(more info)

Math for the people, by the people.

donor list - find out how

Main Menu

class numbers of imaginary quadratic fields

(Data Structure)

We tabulate the ideal class numbers $h$ of first imaginary quadratic number fields $\mathbb{Q}(\sqrt{d})$ The table contains all the nine cases where the class number is 1.

$d$

$h$

$d$

$h$

$d$

$h$

$d$

$h$ $-1$

The class numbers of $\mathbb{Q}(\sqrt{d})$ for the squarefree $d$ s form Sloane's sequence A000924.

Bibliography

1: S. BOREWICZ & I. SAFAREVIC: Zahlentheorie. Birkhäuser Verlag. Basel und Stuttgart (1966).

"class numbers of imaginary quadratic fields" is owned by pahio.

(view preamble | get metadata)

Log in to rate this entry.
(view current ratings)

Cross-references: squarefree, class number, imaginary quadratic number fields
There are 2 references to this entry.

This is version 7 of class numbers of imaginary quadratic fields, born on 2008-10-27, modified 2008-10-29.
Object id is 11215, canonical name is ClassNumbersOfImaginaryQuadraticFields.
Accessed 460 times total.

Classification:

AMS MSC:	11R04 (Number theory :: Algebraic number theory: global fields :: Algebraic numbers; rings of algebraic integers)
	11R11 (Number theory :: Algebraic number theory: global fields :: Quadratic extensions)

Pending Errata and Addenda

None.[ View all 1 ]

Discussion

forum policy

No messages.

Interact