Heegner number
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In number theory, a Heegner number is a positive integer n such that the imaginary quadratic field
- <math>\mathbb Q(\sqrt{-n}) </math>
has class number 1. Equivalently, its ring of integers has a unique factorization. The determination of such numbers is a special case of the class number problem.
According to the Stark-Heegner theorem there are precisely nine Heegner numbers:
- Template:Num, Template:Num, Template:Num, Template:Num, Template:Num, Template:Num, Template:Num, Template:Num, Template:Num
This result was conjectured by Gauss and proven by Kurt Heegner in 1952.
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External links
Template:Numtheory-stubde:Heegner-Zahlen fr:Nombre de Heegner