Results 11 to 20 of about 476,689 (165)

Proportionally modular diophantine inequalities [PDF]

open access: yesJournal of Number Theory, 2003
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
openaire   +2 more sources

On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]

open access: yes, 2010
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
core   +9 more sources

Cubic Diophantine inequalities [PDF]

open access: yesMathematika, 1982
\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
  +7 more sources

Unification and equation solving in nilpotent groups and monoids [PDF]

open access: yes, 1991
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
core   +7 more sources

Integral zeroes of Krawtchouk polynomials [PDF]

open access: yes, 2012
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
core   +7 more sources

Exceptional Sets for Diophantine Inequalities [PDF]

open access: yesInternational 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.
openaire   +3 more sources

An improved estimate for certain Diophantine inequalities [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
Let λ 1
Liu, M.C., Ng, Shu Ming, Tsang, K.M.
openaire   +2 more sources

A System of Two Diophantine Inequalities with Primes [PDF]

open access: yesJournal of Mathematics, 2021
Let 1 < d < c < 128 / 119
Xue Han, Huafeng Liu, Deyu Zhang
openaire   +3 more sources

GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]

open access: yes, 2002
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
core   +1 more source

Home - About - Disclaimer - Privacy