一类数的超越性判定

On a criterion of the transcendence of a class of numbers

对于给定的多项式序列 { Pn( x) } ,我们研究了数 α的超越性与 { Pn( α) }的关系 ,并给出了

We studied the relation between the sequence of values of polynomials {P n( α )} and the transcendence of α , and gave a criterion for the transcendence of α .