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Noun Concept
Categories: Algebraic number theory, Cyclotomic fields
EN
cyclotomic field  cyclotomic  cyclotomic fields
EN
In number theory, a cyclotomic field is a number field obtained by adjoining a complex root of unity to Q, the field of rational numbers. Wikipedia
Definitions
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EN
In number theory, a cyclotomic field is a number field obtained by adjoining a complex root of unity to Q, the field of rational numbers. Wikipedia
Field extension of the rational numbers by a primitive root of unity Wikidata
A number field obtained by adjoining a primitive root of unity to the field of rational numbers. Wiktionary
Extension field of the rational numbers formed by adjoining a primitive root of unity. Wiktionary (translation)
EN
A cyclotomic field is the splitting field of the cyclotomic polynomial Φ n ( x ) = ∏ gcd ( k , n ) = 1 1 ≤ k ≤ n ( x − e 2 k π i n ) and consequently is a Galois extension of the field of rational numbers. Wiktionary
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splitting field
algebraic number field
Wikipedia
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cyclotomic field
Wikidata
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cyclotomic field
Wiktionary
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cyclotomic field
Wikipedia Redirections
EN
cyclotomic, cyclotomic fields

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