Cubic Diophantine Inequalities |
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| Authors: | Hong Ze Li |
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| Affiliation: | (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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