On the n-th Order Roots of the Unity

Dan BărbosuIoana Tașcu

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We discuss the following compention problem regarding the n-th order roots of the unity, proposed by the first author: l et n be an odd positive integer and c be a root of n-th order of the unity. Consider the set
A – {z Ch z -01,1 jiff emy k =0 ,n – I } Prove that for any z E A one has I z I s 1 and &leonine the set A.

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Bărbosu, Dan, Tașcu, Ioana