On the average of number of periodic point with period r

碩士 === 國立中央大學 === 數學研究所 === 95 === In this paper, we compute the average of the number of periodic points with period r on a function field. The result has a little different with the classical result. In the first two sections, we review some properties of the ring of integer Z and the polynomial r...

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Bibliographic Details
Main Authors: SHU-HUI WU, 吳淑惠
Other Authors: 夏良忠
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/87276991987710979300
Description
Summary:碩士 === 國立中央大學 === 數學研究所 === 95 === In this paper, we compute the average of the number of periodic points with period r on a function field. The result has a little different with the classical result. In the first two sections, we review some properties of the ring of integer Z and the polynomial ring A. Then we will compare the ring of integer Z and the polynomial ring A. In section 3, we discuss the distribution of fixed points. Using the result in section 3 to estimate the range of the average of periodic point with period r.