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[parent] list of all imaginary quadratic extensions whose ring of integers is a PID (Result)
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"list of all imaginary quadratic extensions whose ring of integers is a PID" is owned by rm50.
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See Also: norm-Euclidean number field, imaginary quadratic field, lemma for imaginary quadratic fields


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there is a unique reduced form of discriminant $-4n$ only for $n=1,2,3,4,7$ (Theorem) by rm50
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Cross-references: ideals, entire, order, invertible ideals, mean, algebraic integers, ring, subring, quadratic extension, class number, UFD, finite, quadratic forms, class group, PID, ring of integers, imaginary quadratic extension, odd, remainder, proof, property, binary, integral, positive, primitive, classes, number, Gauss

This is version 4 of list of all imaginary quadratic extensions whose ring of integers is a PID, born on 2007-04-17, modified 2008-03-08.
Object id is 9213, canonical name is ListOfAllImaginaryQuadraticPIDs.
Accessed 1147 times total.

Classification:
AMS MSC11R29 (Number theory :: Algebraic number theory: global fields :: Class numbers, class groups, discriminants)
 11E12 (Number theory :: Forms and linear algebraic groups :: Quadratic forms over global rings and fields)
 11E16 (Number theory :: Forms and linear algebraic groups :: General binary quadratic forms)

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