Results 21 to 30 of about 304 (165)

DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE [PDF]

Mathematika, 2021
Accepted for publication in ...
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The integral part of a nonlinear form with a square, a cube and a biquadrate

Open Mathematics, 2020
In this paper, we show that if λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} are non-zero real numbers, and at least one of the numbers λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} is irrational, then the integer parts of λ1n12+λ2n23+λ3n34{
Ge Wenxu, Li Weiping, Zhao Feng
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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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A note on Diophantine inequalities in function fields [PDF]

Notes on Number Theory and Discrete Mathematics
We will discuss how the Bentkus–Götze–Freeman variant of the Davenport–Heilbronn circle method can be used to study 𝔽_q[t] solutions to inequalities of the form ord(λ₁p₁ᵏ+...+λₛpₛᵏ-γ)
Kathryn Wilson
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Value Distribution of Quadratic Forms and Diophantine Inequalities

, 2020
Buterus P. Value Distribution of Quadratic Forms and Diophantine Inequalities.
Buterus, Paul
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Perfect Powers in Smarandache Type Expressions [PDF]

, 2004
The author showed that there are only finitely many numbers of the above form which are products of ...
Luca, Florian
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Rational points close to non-singular algebraic curves [Elektronisk resurs]

, 2023
We study the density of solutions to Diophantine inequalities involving non-singular ternary forms, or equivalently, the density of rational points close to non-singular plane algebraic ...
Adiceam, Faustin,, Lund University., Marmon, Oscar,   +2 more
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Local Diophantine Nullstellen inequalities [PDF]

Journal of the American Mathematical Society, 1988
The main result of this paper is as follows. Let \(P_1,\ldots, P_n\) be polynomials of total degree at most \(D\) in \(x_1,\ldots,x_m\), with rational integer coefficients of absolute values at most \(H\).
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Random Diophantine inequalities of additive type

, 2012
Using the Davenport–Heilbronn circle method, we show that for almost all additive Diophantine inequalities of degree k in more than 2k variables the expected asymptotic formula for the density of solutions holds ...
Dietmann, Rainer, Brüdern, Jörg
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On the Frobenius number of a modular Diophantine inequality [PDF]

Mathematica Bohemica, 2008
Summary: We present an algorithm for computing the greatest integer that is not a solution of the modular Diophantine inequality \(ax\bmod b\leq x\), with complexity similar to the complexity of the Euclid algorithm for computing the greatest common divisor of two integers.
Rosales, José Carlos, Vasco, Paulo
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