S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Theses (Master's Degree_수리과학부)
Representations by a binary quadratic form with class number 4
류수가 4인 이변수 이차형식의 표현
- 자연과학대학 수리과학부
- Issue Date
- 서울대학교 대학원
- 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 오병권.
- 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. In section 5, we collect all results proved in the previous sections and provide a closed formula of the above equation explicitly.