Re: symmetric polynomials

Yes, i've tried, but failed-if you use Newton polynomials of a_1^{1/n},...,a_k^{1/n}, then the Newton polynomials would have the form S_m=a_1^{m/n}+...+a_k^{m/n}. But we need to express not symmetric polynomials of a_1^{m/n},..,a_k^{m/n} but of a_1^{1/n},...,a_k^{1/n}.
Maybe from this point of view, but using some other ideas we can manage-i don't know- i'd be very grateful if someone could help me.
.