Last Updated：2025/11/28

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(number theory, algebraic number theory) A number field obtained by adjoining a primitive root of unity to the field of rational numbers.

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cyclotomic field

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Source Word

cyclotomic field

Noun

Japanese Meaning

円分体：有理数体に原始的な単位根（原始根）を付加して得られる代数数体。

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Researchers computed the class number of the cyclotomic field to study its arithmetic properties.

Google Translation / DeepL Translation

研究者たちはその算術的性質を調べるために、有理数体に原始根となる単位根を付け加えて得られる数体の類数を計算した。

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{{ux|en|A cyclotomic field is the splitting field of the cyclotomic polynomial 𝛷ₙ(x)=∏_( stackrel )1<k<ngcd (k,n)=1(x-e/n)) and consequently is a Galois extension of the field of rational numbers.}}

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cyclotomic fields

（ plural ）

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cyclotomic field

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cyclotomic field

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