涉及CM分担值的常系数指数多项式的唯一性  

On the Uniqueness of Exponential Polynomials with Constant Coefficients Concerning Shared Values CM

作　　者：苏敏 李玉华[2] 刚鹏飞 SU Min;LI Yuhua;GANG Pengfei(School of Science, China University of Mining and Technology, Beijing 100083,China;School of Mathematics, Yunnan Normal University, Kunming 650500,China)

机构地区：[1]中国矿业大学(北京)理学院,北京100083 [2]云南师范大学数学学院,昆明650500

出　　处：《数学年刊（A辑）》2019年第3期231-236,共6页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11761081)的资助

摘　　要：主要证明了两个非常数的常系数指数多项式,如果在复平面中4个张角严格大于π的每一个角域内都有1个有穷的CM分担值,且这4个分担值是判别的,则它们必然恒等.In this paper, the authors prove that two non-constant exponential polynomials with constant coefficients must be identical, provide that they share four distinct CM values while each CM value lies in an angular domain of opening strictly larger than π.

关 键 词：指数多项式 CM分担值 唯一性 

分 类 号：O174.52[理学—数学]