A GENERALIZATION IN SEVERAL VARIABLES OF A TRANSCENDENCE CRITERION OF GEL'FOND (Ⅱ)

For P∈C[x1,…,xn], H（p） denotes its height, d（P） denotes max degxi （P）. We put t（P） = max （logH（p）, 1 + d（P））. Let n≥1 and （θ1,…θn）∈Cn. We denote by A（θ1…θn） the set of all reals η>1