On the Diophantine equation $y^2-k=x^3$Diophantine 방정식 $y^2-k=x^3$에 대하여
The equation $y^2-k=x^3$ has only a finite number of solutions for a given k. In the present thesis, after we reduce the given equation to the finite number of the Thue equations, we refine some techniques of Ellison, Petho and Steiner and show that the only integer solution of the equation $y^2+127=x^3, y$ positive, is $x=16, y=63$.
- Advisors
- Hahn, Sang-Geunresearcher; 한상근researcher
- Description
- 한국과학기술원 : 수학과,
- Publisher
- 한국과학기술원
- Issue Date
- 1998
- Identifier
- 135388/325007 / 000963542
- Language
- eng
- Description
학위논문(석사) - 한국과학기술원 : 수학과, 1998.2, [ [ii], [27] p. ]
- Keywords
Thue equation; Diophantine equation; Mersenne prime; Mersenne 소수; Thue 방정식; Diophantine 방정식
- Appears in Collection
- MA-Theses_Master(석사논문)
- Files in This Item
- There are no files associated with this item.
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