数学杂志2011,Vol.31Issue(1):147-151,5.
丢翻图方x2 + a2=2yn解法的计算研究
SOLUTION TO DIOPHANTINE EQUATION x2+a2=2yn
摘要
Abstract
This article considers a class of Diophantine equations. By the algorithm, we get the number of solutions, upper bounds of the solutions, and the general method to solve the equation. Finally, we give all solutions for 1≤ a≤ 108.关键词
丢番图方程/连分式/Thue方程分类
数理科学引用本文复制引用
阳凌怡,陈建华,孙金龙..丢翻图方x2 + a2=2yn解法的计算研究[J].数学杂志,2011,31(1):147-151,5.基金项目
国家863计划基金课题基金资助(2001AA141010). (2001AA141010)