Abstract [eng] |
In this thesis the following result is proved: let p be a prime and k a positive integer. If p+1≠k and p+1≠2k then the triplet (p+1,p+1,kp) is not sum-feasible and not product-feasible, i.e. there are no three algebraic numbers α, β, γ of degrees p+1, p+1, kp respectively such that α+β+γ=0 or αβγ=1. |