摘要
在本文中 ,我们利用 Thue- Sieqel方法研究一类代数数的有理逼近 ,证明了对此类代数数的有效有一逼近 ,最后我们利用此结果研究了 diophantine方程 .ax2 - by4 =- 1得出关于此方程完整的结论 .
In this paper, the method of Thue and Siegel, based on explict Pade approximations to algebraic functions, are used to examine diophantine approximations to certain algebraic numbers. Effective improvements over Liouville theorem are preceneted for a class of algebraic number of degree 4, finally, the results have been used to solve diophantime equationax 2-by 4=-1.
出处
《数学杂志》
CSCD
2000年第2期121-132,共12页
Journal of Mathematics
基金
Industry Institute of China
关键词
有理逼近
有效性
丢番图方程
代数数
解
ratipnal approximation
diophantine equation
effective approximation
