Simplest Cubic Fields
Mushtaq, Q. · Iqbal, S.
Original · EN
Let Q(α) be the simplest cubic field, it is known that Q(α) can be generated by adjoining a root of the irreducible equation x³-kx²+(k-3)x+1=0, where k belongs to Q. In this paper we have established a relationship between α, α' and k,k' where α is a root of the equation x³-kx²+(k-3)x+1=0 and α' is a root of the same equation with k replaced by k' and Q(α)=Q(α').
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