摘要
本文证明了下面的定理设λ＿１，…，λ＿８为非零实数，其中至少有两个之比为无理数。ｋ＝４，５，…，１１。那么，对任意给定的实数ｋ及０＜σ＜σ＿ｋ，不等式有无穷多组整数解，这里（４ｋ１１）。
In the present paper, we consider the analogue of professor Lu Ming-gap's theorem on sums of mixed powers for Diophantine inequalities. More precisely we have the following result. Theorem Suppose that λ１，…，λ７ are non-zero real numbers not all in rational ratio. Then for any real number K and σ < 1/36, the inequality has infinitely many solutions in integers.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1994年第2期180-190,共11页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金
关键词
丢番图不等式
混和幂
整数解
Diophantine inequality, mixed powers, sums of higher powers
