Cubic Diophantine Inequalities
Cubic Diophantine Inequalities作者机构:Department of Mathematics Shandong University
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2001年第17卷第1期
页 面:153-160页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:Project supported by the National Natural Science Foundation of China (Grant No. 19671051)
主 题:Diophantine inequality Cubic equation Non-trivial solution
摘 要:Let λ1, λ2,...,λ7 be real numbers satisfying λi≥1. In this paper, we prove there are integers x1,...,x7 such that the inequalities |λ1x13+λ2x23+...+λ7x73|i|xi]3 (λ1λ2…λ7)89814) hold simultaneously.