OXFORD 9000
📚 noun • entry_id 56693

cyclotomic field

Meanings (ES + gloss)
cuerpo ciclotómico
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#1…
Cyclotomic fields are fields obtained by adjoining to #92;Q roots of unity, i.e. roots of polynomials of the form Xⁿ-1, although the reader is warned that this terminology will be…
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