On the ring of integers of real cyclotomic fields. (English) Zbl 1345.11073

Summary: Let \(\zeta_n\) be a primitive \(n\)th root of unity. As is well known, \(\mathbb Z[\zeta_n+\zeta_n^{-1}]\) is the ring of integers of \(\mathbb Q (\zeta_ n+\zeta_n^{-1})\). We give an alternative proof of this fact by using the resultants of modified cyclotomic polynomials.


11R04 Algebraic numbers; rings of algebraic integers
11R18 Cyclotomic extensions
Full Text: DOI Euclid


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