Cubic Diophantine Inequalities |
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| Authors: | Hong Ze Li |
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| Institution: | (1) Department of Mathematics, Shandong University, Jinan 250100, P. R. China, E-mail: lihz@sdu.edu.cn, CN |
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| Abstract: | Let λ1, λ2,..., λ7 be real numbers satisfying λ
i
≥ 1. In this paper, we prove there are integers x
1,..., x
7 such that the inequalities |λ1
x
3
1 + λ2
x
3
2 + ⋯ + λ7
x
3
7| < 1 and hold simultaneously.
Received November 18, 1997, Accepted October 23, 1998 |
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| Keywords: | Diophantine inequality Cubic equation Non-trivial solution |
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