中文摘要：

利用Cm上亚纯函数的性质（包括值分布理论）,研究Cm上亚纯函数唯一性像集有关问题,并证明以下定理：令S={z∈Cm：zn-1=0},a为非零复数,且a2■S,k≥2为整数。f,g为Cm上级小于1的非常数亚纯函数,sum from b∈S（μ~bf,k）=sum from b∈S（μbg,k）,且SuppDaf=SuppDag,则若n〉（4＋3/k＋2/（k＋1））（1＋ε）,得f=g。

英文摘要：

Using the properties of meromorphic functions on Cm （including Nevanlinna theory）, we studied the problems of unique range set for meromorphic functions on Cm. The following results were obtained： Let f,g be two nonconstant meromorphic functions on Cm with order less than 1 a, be a nonzero complex number such that a2 S,k2,be an int ger. Suppose that S={zeC=：z＂--l=O},bes b =bes b f.k tt,,k, and 2 Supp D}=SuppD,If n〉（4q- ＋k--@--i） （l＋e）,then f=go