“…Theorem 5 (Evertse, Gyory, Stewart, Tijdeman [26] In this section we shall describe some ideas behind the proofs of Theorems 1 and 2. By the subspace Theorem, the solutions of (4.6) in x E pn-1 (K) are contained in finitely many proper projective subspaces of pn-l (K are finite, we obtain that the total number of solutions of ( 4.3) subject to ( 4.4) is finite.…”