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Almost 2-regular quinary quadratic forms
거의 모든 2-정규 5변수 이차형식

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Authors
이인환
Advisor
오병권
Major
자연과학대학 수리과학부
Issue Date
2017-02
Publisher
서울대학교 대학원
Keywords
quadratic formsalmost $n$-regular formsrepresentationWatson transformation
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2017. 2. 오병권.
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.
Language
English
URI
http://hdl.handle.net/10371/121328
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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