Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Heegner Number

    Definition

    The values of -d for which imaginary quadratic fields Q(sqrt(-d)) are uniquely factorable into factors of the form a + bsqrt(-d). Here, a and b are half-integers, except for d = 1 and 2, in which case they are integers. The Heegner numbers therefore correspond to binary quadratic form discriminants -d which have class number h(-d) equal to 1, except for Heegner numbers -1 and -2, which correspond to d = - 4 and -8, respectively.

    Associated people

    Carl Friedrich Gauss | Kurt Heegner

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.