A New Method in the Problem of Three Cubes

@article{Avagyan2017ANM,
  title={A New Method in the Problem of Three Cubes},
  author={Armen Avagyan and Gurgen Dallakyan},
  journal={arXiv: Number Theory},
  year={2017},
  volume={5},
  pages={45-56}
}
In the current paper we are seeking P1(y); P2(y); P3(y) with the highest possible degree polynomials with integer coefficients, and Q(y) via the lowest possible degree polynomial, such that = Q(y). Actually, the solution of this problem has close relation with the problem of the sum of three cubes a3 + b3 + c3 = d, since degQ(y) = 0 case coincides with above mentioned problem. It has been considered estimation of possibility of minimization of degQ(y). As a conclusion, for specific values of d… Expand

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