On the sum of two algebraic numbers
... PAULIUS DRUNGILAS, ARTŪRAS DUBICKAS, CHRIS SMYTH
Abstract. For all but one positive integer triplet (a, b, c) with a 6 b 6 c
and b 6 6, we decide whether there are algebraic numbers α, β and
γ of degrees a, b and c, respectively, such that α + β + γ = 0. The
undecided case (6, 6, 8) will be include ...