imaginary quadratic field
A quadratic number field , where is a negative squarefree integer, is called a imaginary quadratic field.
The name may be thought to describe the fact that such a quadratic field “imaginary numbers” (in the sense ‘non-real complex numbers’).
Other quadratic fields are real quadratic fields.
Title | imaginary quadratic field |
Canonical name | ImaginaryQuadraticField |
Date of creation | 2013-03-22 17:58:21 |
Last modified on | 2013-03-22 17:58:21 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 8 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 11R11 |
Classification | msc 11R04 |
Synonym | quadratic imaginary field |
Synonym | imaginary quadratic number field |
Synonym | quadratic imaginary number field |
Synonym | imaginary quadratic extension |
Related topic | Imaginary |
Related topic | UnitsOfQuadraticFields |
Related topic | QuadraticImaginaryEuclideanNumberFields |
Related topic | ListOfAllImaginaryQuadraticPIDs |
Defines | real quadratic field |