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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/73347

Title:	有關整數分割的對射證明 About Bijective Proofs of Integer Partitions
Authors:	涂健晏
Contributors:	李陽明涂健晏
Keywords:	整數分割
Date:	2014
Issue Date:	2015-02-03 15:00:41 (UTC+8)
Abstract:	在本篇論文，我們討論兩個組合等式，先利用整數分割及生成函數來證明，再給一個簡潔的方式證明這些整數分割之間的對應;第一章我們先對生成函數、整數分割、2的冪分割以及相異項與奇項分割作一個簡單的介紹，第二章說明並證明2的奇冪分割和偶冪分割的對射，第三章說明並證明相異項與奇項分割的對射。
Reference:	[1] National Institute for Compilation and Translation. http://terms.naer.edu.tw/. [2] George E. Andrews. Number theory. New York : Dover Publications, 1938. [3] George E. Andrews. The theory of partitions. London ; Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1976. [4] G. H. Hardy and E. M. Wright. An Introduction to the Theory of Numbers. Oxford Univ.Press, London and New York., 1960. [5] D. R. Hickerson. Identities relating the number of partitions into an even and odd number of parts. J. Combinatorial Theory A15, 1973. [6] D. R. Hickerson. A partition identity of Euler type. Amer. Math. Monthly 81, 1974. [7] Chung Laung Liu. Introduction to combinatorial mathematics. McGraw-Hill, 1968. [8] Fred S. Roberts ; Barry Tesman. Applied combinatorics. Upper Sadle River, N.J. : Prentice- Hall, 2005. [9] Alan Tucker. Applied combinatorics. Hoboken, N.J. : John Wiley and Sons, 2012.
Description:	碩士國立政治大學應用數學研究所 101751001 103
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G1017510011
Data Type:	thesis
Appears in Collections:	[Department of Mathematical Sciences] Theses

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