For what degrees N are there two polynoms of degree N with the integer coefficients, each has N various integer roots, and polynoms difference - constant? (problem from D. G. Fon-Der-Flaas).
On 11/21/2009 10:34:01 PM, YuK wrote: >Hi Alvaro. > >Time to post more tips. >Peoples knows solution for >N=6,7,8,9,(11?). But I don't >find this solutions. > >Regards >Yuk _____________________________
There may be connection with "cyclotomic", but it does look so. Maybe with partitioning ?
I see the symmetry of polinom roots for solution. And I try all symmetry variant roots for N=7 with integers abs(x_i)<56, (y_i)<56, but I don't find here the solution.