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

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:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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