Resumen de Advances on the 3-color off-diagonal generalized Schurnumbers S(3; k1, k2, k3)

T. Ahmed, J.L. Boza, Pastora Revuelta Marchena , M.I. Sanz

• For integers r and ki, with r ≥ 2 and ki ≥ 2 for i = 1, 2, . . . , r, the r-color off-diagonalgeneralized Schur number S(r; k1, k2, . . . , kr) is defined as the least integer M such thatany r-coloring of the integer interval [1, M] must admit a j-colored solution to equationEkj: x1 + x2 + . . . + xkj = xkj+1 for some j with 1 ≤ j ≤ r.In this work, we will show our advances on the 3-color off-diagonal generalized Schurnumbers S(3; k1, k2, k3).