Power Bases for 2-Power Cyclotomic Field
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Leanne Robertson
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Article
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2001
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Elsevier Science
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English
β 128 KB
Let `be a primitive 2 m th root of unity. We prove that Z[:]=Z [`] if and only if :=n\`i for some n, i # Z, i odd. This is the first example of number fields of arbitrarily large degree for which all power bases for the ring of integers are known. 2001 Academic Press ## 1. Introduction A number f