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https://ah.lib.nccu.edu.tw/handle/140.119/73347
題名: | 有關整數分割的對射證明 About Bijective Proofs of Integer Partitions |
作者: | 涂健晏 | 貢獻者: | 李陽明 涂健晏 |
關鍵詞: | 整數分割 | 日期: | 2014 | 上傳時間: | 3-Feb-2015 | 摘要: | 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。 | 參考文獻: | [1] National Institute for Compilation and Translation. http://terms.naer.edu.tw/.\n[2] George E. Andrews. Number theory. New York : Dover Publications, 1938.\n[3] George E. Andrews. The theory of partitions. London ; Reading, Mass. : Addison-Wesley\nPub. Co., Advanced Book Program, 1976.\n[4] G. H. Hardy and E. M. Wright. An Introduction to the Theory of Numbers. Oxford\nUniv.Press, London and New York., 1960.\n[5] D. R. Hickerson. Identities relating the number of partitions into an even and odd number\nof parts. J. Combinatorial Theory A15, 1973.\n[6] D. R. Hickerson. A partition identity of Euler type. Amer. Math. Monthly 81, 1974.\n[7] Chung Laung Liu. Introduction to combinatorial mathematics. McGraw-Hill, 1968.\n[8] Fred S. Roberts ; Barry Tesman. Applied combinatorics. Upper Sadle River, N.J. : Prentice-\nHall, 2005.\n[9] Alan Tucker. Applied combinatorics. Hoboken, N.J. : John Wiley and Sons, 2012. | 描述: | 碩士 國立政治大學 應用數學研究所 101751001 103 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G1017510011 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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