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math.NT2011
Calculation of norms of some secial elements of cyclotomic fields
Alexandre Aksenov
In this article we prove that (1-zeta+zeta^2) is a unit in the ring of integers of the cyclotomic field where zeta is a primitive n-th root of unity and n is coprime to 2 and 3. We…
math.NT2011★ 1 cited
The Newman phenomenon and Lucas sequence
Alexandre Aksenov
This article gives an alternative proof of the fact that N_{Q(zeta)/Q}(1-zeta)=p where p is an odd prime number and zeta is a primitive p-th root of unity, and uses it to prove tha…