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Almost 2-regular quinary quadratic forms : 거의 모든 2-정규 5변수 이차형식
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 오병권 | - |
| dc.contributor.author | 이인환 | - |
| dc.date.accessioned | 2017-07-14T00:43:16Z | - |
| dc.date.available | 2017-07-14T00:43:16Z | - |
| dc.date.issued | 2017-02 | - |
| dc.identifier.other | 000000142306 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/121328 | - |
| dc.description | 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2017. 2. 오병권. | - |
| dc.description.abstract | A (positive definite integral) quadratic form is called almost n-regular if it globally represents all but finitely many quadratic forms of rank n that are locally represented up to isometry.
In this thesis, we discuss the finiteness of primitive almost 2-regular quinary quadratic forms up to isometry. We prove that there are finitely many almost 2-regular quinary quadratic forms that represent all integers. We also prove that there are finitely many primitive almost 2-regular quinary quadratic forms having an odd core prime. We discuss the finiteness of primitive almost 2-regular quinary quadratic forms which have 2 as the only core prime. | - |
| dc.description.tableofcontents | 1 Introduction 1
2 Preliminaries 5 2.1 Quadratic spaces and lattices 5 2.2 Watson transformation 13 2.3 Analytic tools. 16 3 Terminal lattices 19 3.1 Core lattices 19 3.2 Finiteness of terminal lattices 22 4 Almost 2-regular quinary lattices 32 4.1 Even universal almost 2-regular quinary Z-lattices 32 4.2 Finiteness of even almost 2-regular quinary Z-lattices 36 Bibliography 42 Abstract (in Korean) 44 | - |
| dc.format | application/pdf | - |
| dc.format.extent | 1690140 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | en | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | quadratic forms | - |
| dc.subject | almost $n$-regular forms | - |
| dc.subject | representation | - |
| dc.subject | Watson transformation | - |
| dc.subject.ddc | 510 | - |
| dc.title | Almost 2-regular quinary quadratic forms | - |
| dc.title.alternative | 거의 모든 2-정규 5변수 이차형식 | - |
| dc.type | Thesis | - |
| dc.contributor.AlternativeAuthor | Inhwan Lee | - |
| dc.description.degree | Doctor | - |
| dc.citation.pages | 43 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2017-02 | - |
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