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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7893


    Title: 週期為r之週期點個數的平均值;On the average of number of periodic point with period r
    Authors: 吳淑惠;SHU-HUI WU
    Contributors: 數學研究所
    Keywords: 週期點;週期;平均值;periodic point;period;function field
    Date: 2007-06-26
    Issue Date: 2009-09-22 11:08:20 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 在這篇論文中,我們要計算在一個function field上週期為r的週期點個數的平均值。這個結果和古典結果有一些不同。在第一、二節中,我們先複習整數環和多項式環的一些性質,並加以比較這兩個環的相似性。第三節開始討論固定點的分佈情形,最後利用第三節的結果來估計週期為r的週期點個數的平均值。 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.
    Appears in Collections:[數學研究所] 博碩士論文

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