Results 1 to 10 of about 156 (124)
On two Diophantine inequalities over primes [PDF]
Indagationes Mathematicae, 2018 21 ...
Min Zhang, Jinjiang Li
exaly +4 more sources
Cubic Diophantine inequalities [PDF]
Mathematika, 1982 Let \(\lambda_1,\ldots,\lambda_s\) be non-zero real numbers and not all ratios \(\lambda_i/\lambda_j\) be rational. \textit{H. Davenport} and \textit{K. F. Roth} [Mathematika 2, 81--96 (1955; Zbl 0066.29301)] proved that the values taken by \(\lambda_1x^3_1+\cdots+\lambda_8x^3_8\) at integer points \(x_1,\ldots,x_8\), are dense on the real line. Later,
Baker, R. C. +2 more
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On a Diophantine Inequality with s Primes
Journal of Mathematics, 2021 Let ...
Xiaofei Yan, Lu Zhang
doaj +1 more source
Mathematics, 2021 Consider the Diophantine equation yn=x+x(x+1)+⋯+x(x+1)⋯(x+k), where x, y, n, and k are integers. In 2016, a research article, entitled – ’power values of sums of products of consecutive integers’, primarily proved the inequality n= 19,736 to obtain all ...
S. Subburam +6 more
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On the Multiplicity of a Proportionally Modular Numerical Semigroup
Discrete Dynamics in Nature and Society, 2021 A proportionally modular numerical semigroup is the set Sa,b,c of nonnegative integer solutions to a Diophantine inequality of the form ax mod b≤cx, where a,b, and c are positive integers.
Ze Gu
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DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE [PDF]
Mathematika, 2021 Accepted for publication in ...
openaire +2 more sources
One Diophantine inequality with unlike powers of prime variables
Journal of Inequalities and Applications, 2016 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 ...
Wenxu Ge, Weiping Li
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Exceptional Sets for Diophantine Inequalities [PDF]
International Mathematics Research Notices, 2013 We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument. Under appropriate conditions, we show that the exceptional set in the interval [-N,N] has measure O(N^{1-c}), for a positive number c.
Parsell, Scott T., Wooley, Trevor D.
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A System of Two Diophantine Inequalities with Primes [PDF]
Journal of Mathematics, 2021 Let 1 < d < c < 128 / 119
Xue Han, Huafeng Liu, Deyu Zhang
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Observation of vibrating systems at different time instants
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper of A. Szijártó and J.
Ambroise Vest
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