cyclotomic field


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cyclotomic field

[‚sī·klə¦täm·ik ′fēld]
(mathematics)
The extension field of a given field K which is the smallest extension field of K that includes the n th roots of unity for some integer n.
References in periodicals archive ?
Washington, Introduction to cyclotomic fields, Graduate Texts in Math.
n]]] is the ring of integers of the nth real cyclotomic field Q([[zeta].
Liang, On the integral basis of the maximal real subfield of a cyclotomic field, J.
Robertson, Heuristics for class numbers of prime-power real cyclotomic fields, in High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams, Fields Inst.
Miller that his methods for finding principal ideals of real cyclotomic fields in [24], [25] may be valid for Q([[zeta].
Montgomery, Cyclotomic fields with unique factorization, J.
Miller, Real cyclotomic fields of prime conductor and their class numbers, arXiv:1407.
Washington, Quintic poly- [12] nomials and real cyclotomic fields with large class numbers, Math.
Birch, Cyclotomic fields and Kummer extensions, in Algebraic Number Theory (Proc.