One Diophantine inequality with unlike powers of prime variables

Abstract In this paper, we show that if λ 1 $\lambda_{1}$ , λ 2 $\lambda_{2}$ , λ 3 $\lambda_{3}$ , λ 4 $\lambda _{4}$ , λ 5 $\lambda_{5}$ are nonzero real numbers not all of the same sign, η is real, 0 < σ < 1 720 $0<\sigma<\frac{1}{720}$ , and at least one of the ratios λ i / λ j $\lam...

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Bibliographic Details
Main Authors: Wenxu Ge, Weiping Li
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-0983-6