종수에 따른 수치적반군과 그 수에 대한 추측
- Issued Date
- 2013
- Abstract
- We introduce the numerical semigroup in this theses. We will define the genus in the notion of the numerical semigroup and then compute the numerical semigroups with given genus 1, 2, 3, 4, 5, 6
Finally, we present Bras-Amoros’ conjectures about Fibonacci-like behavior of the number of numerical semigroups with given genus.
- Alternative Title
- Numerical semigroups of given genus and same conjectures about their numbers
- Alternative Author(s)
- Kim, Young Il
- Affiliation
- 조선대학교 대학원
- Department
- 교육대학원 수학교육
- Advisor
- 이관규
- Awarded Date
- 2013-08
- Table Of Contents
- - 목 차 -
ABSTRACT
제1장 서론 ··················································· 1
제2장 수치적반군 ·········································· 3
제1절 수치적반군 ················································· 3
제2절 Apery집합 ·················································· 7
제3절 종수에 따른 수치적반군의 생성집합 ·············· 10
제4절 피보나치수와 황금비의 관계 ························ 19
제5절 Bras-Amoros의 추측 ·································· 22
참고문헌 ··································································· 26
- Degree
- Master
- Publisher
- 조선대학교 대학원
- Citation
- 김영일. (2013). 종수에 따른 수치적반군과 그 수에 대한 추측.
- Type
- Dissertation
- URI
- https://oak.chosun.ac.kr/handle/2020.oak/15637
http://chosun.dcollection.net/common/orgView/200000264065
- Appears in Collections:
- Education > 3. Theses(Master)
- Files in This Item:
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