On class numbers of imaginary quadratic and quartic fields (Q788768)
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scientific article; zbMATH DE number 3843860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On class numbers of imaginary quadratic and quartic fields |
scientific article; zbMATH DE number 3843860 |
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On class numbers of imaginary quadratic and quartic fields (English)
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1983
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The author gives a simple proof of the known fact that there exist infinitely many imaginary quadratic fields with class numbers divisisible by a given integer. The author also constructs infinitely many imaginary cyclic quartic fields whose relative class numbers are divisible by p, where p is a given prime congruent to 1 modulo 4.
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imaginary quadratic fields
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divisibility of class number by given integer
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imaginary cyclic quartic fields
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