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ON THE ZETA FUNCTIONS OF EXPANDING MAPPINGS
【摘要】 <正> In this paper we discuss a sort of zeta function which describes the behavior of periodic points of semi-dynamical systems. It is proved that the zeta functions of expanding mappings on compact manifolds are rational.
【Abstract】 In this paper we discuss a sort of zeta function which describes the behavior of periodic points of semi-dynamical systems. It is proved that the zeta functions of expanding mappings on compact manifolds are rational.
【关键词】 expanding;
dynamical;
rational;
holds;
admissible;
satisfying;
neighborhood;
orbit;
differentiable;
suppose;
- 【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,1985年10期
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