imaginary quadratic field

A quadratic number field(d),  where d is a negative squarefreeMathworldPlanetmath integer, is called a imaginary quadratic fieldMathworldPlanetmath.

The name may be thought to describe the fact that such a quadratic fieldimaginary numbersMathworldPlanetmath” (in the sense ‘non-real complex numbersMathworldPlanetmathPlanetmath’).

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