On the common divisor of discriminants of integers (Q1860632)
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scientific article; zbMATH DE number 1874194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the common divisor of discriminants of integers |
scientific article; zbMATH DE number 1874194 |
Statements
On the common divisor of discriminants of integers (English)
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31 May 2003
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Let \(F \subset K\) be two number fields. If \(\delta(K/F)\) is the greatest common divisor of the discriminants of integers of \(K\) with respect to \(K/F,\) then \(\delta(K/F)\) is divisible by the discriminant \(d(K/F)\) of \(K/F.\) The author gives a necessary and sufficient condition for a prime ideal of \(F\) to divide \(\delta(K/F)/d(K/F).\) This extends her earlier result [Nagoya Math. J. 160, 181-186 (2000; Zbl 0967.11044)].
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algebraic integer
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discriminant
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greatest common divisor
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0.8902553
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0.8878435
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0.88658804
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