請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63696完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳其誠 | |
| dc.contributor.author | Jun-Wei Xu | en |
| dc.contributor.author | 許君瑋 | zh_TW |
| dc.date.accessioned | 2021-06-16T17:16:37Z | - |
| dc.date.available | 2012-08-21 | |
| dc.date.copyright | 2012-08-21 | |
| dc.date.issued | 2012 | |
| dc.date.submitted | 2012-08-17 | |
| dc.identifier.citation | References
[1] M. Bhargava, P-ordering and polynomial functions on arbitrary subsets of Dedekind rings, J. reine Angew. Math. 490(1997),101-127. [2] M. Bhargava, Generalized factorials and fixed divisors over subsets of a Dedekind domain, J. Number Theory 72(1998), 67-75. [3] M. Bhargava and K. S. Kedlaya, Continuous functions on compact subsets of local fields, Acta Arith. 91(1999), 191-198. [4] M. Bhargava, The factorial function and generalizations, Amer. Math. Monthly 107(2000),783-799. [5] M. Wood, P-orderings: a metric viewpoint and the non-existence of simultaneous orderings, J. Number Theory 99(2003),783-799. [6] D. Adam, Simultaneous orderings in function fields, J. Number Theory 112(2005),287-297. [7] M. Bargava, On p-orderings, rings of integer-valued polynomials, and ultrametric analysis, J. Amer. MAth. v22(2009),963-993. [8] J.L. Chabert and P.J. Cahen, Old problems and new questions around integer-valued polynomials and factorial sequences, http://www.springerlink.com/content/v4524t2grm053088/. [9] P. Ribenboim, Classical Theory of Algebraic Numbers, UTX. Springer. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63696 | - |
| dc.description.abstract | 階乘常出現在組合學中, 並且有許多有趣的性質. 本篇論文主要在介
紹由Manjul Bhargava 博士所提出的方法, 將階乘推廣到在整數的子集 上, 甚至是在Dedekind ring 的子集上, 定義階乘. 並且保有階乘在數論 中的一些美好性質. | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-16T17:16:37Z (GMT). No. of bitstreams: 1 ntu-101-R99221025-1.pdf: 255807 bytes, checksum: 372b4ded3207c031cf98af09d76e5a4a (MD5) Previous issue date: 2012 | en |
| dc.description.tableofcontents | Contents
誌謝--------------i 摘要-------------ii Abstract------ iii Contents--------iv 1. Introduction--------------------------------- 1 2. The Construction----------------------------- 1 2.1. P-orderings on a subset of a Dedekind ring- 1 2.2. The generalized factorial functions --------5 3. Examples -------------------------------------5 4. Basis Properties -----------------------------8 5. More Questions ------------------------------13 References -------------------------------------14 | |
| dc.language.iso | zh-TW | |
| dc.subject | 固定除數 | zh_TW |
| dc.subject | 同時P-排序 | zh_TW |
| dc.subject | p-排序 | zh_TW |
| dc.subject | 廣義階乘 | zh_TW |
| dc.subject | generalized factorial | en |
| dc.subject | p-ordering | en |
| dc.subject | simultaneous P-ordering | en |
| dc.subject | fixed divisor | en |
| dc.title | 廣義階乘函數之探討 | zh_TW |
| dc.title | A Survey on the Generalized Factorial function | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 100-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 紀文鎮,黃柏嶧 | |
| dc.subject.keyword | 廣義階乘,p-排序,同時P-排序,固定除數, | zh_TW |
| dc.subject.keyword | generalized factorial,p-ordering,simultaneous P-ordering,fixed divisor, | en |
| dc.relation.page | 14 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2012-08-18 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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