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Representations by a binary quadratic form with class number 4
류수가 4인 이변수 이차형식의 표현

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Authors
김정진
Advisor
오병권
Major
자연과학대학 수리과학부
Issue Date
2013-02
Publisher
서울대학교 대학원
Keywords
class number 4binary quadratic forms
Description
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 오병권.
Abstract
A homogeneous quadratic polynomial F(x,y)=ax^2+bxy+cy^2 is called a binary quadratic form. In this thesis, we consider the binary form F(x,y)=x^2+64y^2 which has class number 4. Our aim is to give an explicit closed formula for the equation F(x,y)=n for any integer n. To do this, we adopt the method developed in S.-Y. Min and B.-K. Oh[3]. In section 5, we collect all results proved in the previous sections and provide a closed formula of the above equation explicitly.
Language
English
URI
http://hdl.handle.net/10371/131460
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
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