Results 11 to 20 of about 476,689 (165)
Proportionally modular diophantine inequalities [PDF]
The authors study the sets of nonnegative solutions of Diophantine inequalities of the form \(ax\) mod \(b \leq cx\) with \(a, b\) and \(c\) positive integers. These sets are numerical semigroups, which are investigated and characterized.
Rosales, J.C. +3 more
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On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]
In this paper, we present a simple and fast method for counting the number of nonnegative integer solutions to the equality a1x1+a2x2+: : :+arxr = n where a1; a2; :::; ar and n are positive integers.
Farzaneh , A. +3 more
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Cubic Diophantine inequalities [PDF]
\textit{H. Davenport} and \textit{K. F. Roth} [Mathematika, 2, 81--96 (1955; Zbl 0066.29301)] showed that for \(s \geq 8\) the values of the real additive form \(\lambda_1 x^3_1 + \ldots + \lambda_s x^3_s\) on \(\mathbb{Z}^s\) are dense on the real line, provided that \(\lambda_1/ \lambda_2\) is irrational.
Baker, R. C. +2 more
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Unification and equation solving in nilpotent groups and monoids [PDF]
Unification and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a
Burke, Edmund Kieran, Burke, E.K
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DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE [PDF]
Accepted for publication in ...
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Integral zeroes of Krawtchouk polynomials [PDF]
This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
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Exceptional Sets for Diophantine Inequalities [PDF]
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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An improved estimate for certain Diophantine inequalities [PDF]
Let λ 1
Liu, M.C., Ng, Shu Ming, Tsang, K.M.
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A System of Two Diophantine Inequalities with Primes [PDF]
Let 1 < d < c < 128 / 119
Xue Han, Huafeng Liu, Deyu Zhang
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GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
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