The Roots of Unity with Prime Number Exponent l and the Cyclotomic Field They Generate

David Hilbert

Chapter 21 in The Theory of Algebraic Number Fields, 1998, pp 161-165 from Springer

Abstract: Abstract Let l be an odd rational prime number and let ζ = e2 πi/l . The l-th degree equation $${x^l} - 1 = 0$$ has the l roots $$\zeta ,{\zeta ^2}, \ldots ,{\zeta ^{l - 1}},{\zeta ^l} = 1$$ .

Keywords: Prime Number; Rational Number; Prime Ideal; Ideal Factor; Algebraic Integer (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-3-662-03545-0_21

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