Word.ws English Dictionary

cyclotomic fields

cyclotomic fields is the plural of cyclotomic field.

Meaning of cyclotomic field

Noun

cyclotomic field (plural cyclotomic fields)

  1. (algebraic number theory) A number field obtained by adjoining a primitive root of unity to the field of rational numbers.
    • A cyclotomic field is the splitting field of the cyclotomic polynomial #92;Phi#95;n(x)#61;#92;prod#95;#92;stackrel#123;1#92;lek#92;len#125;#123;#92;gcd(k,n)#61;1#125;#92;left(x-e#123;#92;frac#123;2k#92;pii#125;#123;n

Questions about cyclotomic fields

What is cyclotomic fields the plural of?
Cyclotomic fields is the plural of cyclotomic field.

Words near cyclotomic fields in the dictionary

  1. cyclotide
  2. cyclotides
  3. cyclotol
  4. cyclotomic
  5. cyclotomic field
  6. cyclotomic fields
  7. cyclotomic polynomial
  8. cyclotomic polynomials
  9. cyclotomically
  10. cyclotomics
  11. cyclotomy

Source and license

Adapted from Wiktionary: cyclotomic fields (page history and authors); cyclotomic field (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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