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Class Numbers of Ray Class Fields of Imaginary Quadratic Fields
Elliptic curves Quadratic fields Ray class fields Imaginary quadratic fields
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2014/12/8
Let K be an imaginary quadratic field with class number one and let [Special characters omitted.] be a degree one prime ideal of norm p not dividing 6 d K . In this thesis we generalize an algorithm o...
Corrigendum --- Quadratic Class Numbers Divisible by 3
Corrigendum Quadratic Class Numbers Divisible by 3
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2010/12/10
In attempting to handle N+(X) the paper states that the Scholz reflection principle “yields 3|h(k) for any positive integer for which 3|h(−3k)”. This is not correct, and one cannot establish a r...
A result of Lemmermeyer on class numbers
Lemmermeyer class numbers
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2010/12/9
I present Franz Lemmermeyer’s proof that if p is a prime ≡ 9 (16) then the class number of Qp 1 4 is ≡ 2 (4).