Results 41 to 50 of about 33,591 (180)
Best Simultaneous Diophantine Approximations under a Constraint on the Denominator [PDF]
, 2005 We investigate the problem of best simultaneous Diophantine approximation under a constraint on the denominator, as proposed by Jurkat. New lower estimates for optimal approximation constants are given in terms of critical determinants of suitable star ...
Aliev, Iskander, Gruber, Peter
core +5 more sources
Sheffer Stroke BCK-Algebras via Linear Diophantine Fuzzy Structures
AxiomsThis study investigates linear Diophantine fuzzy structures within the framework of Sheffer stroke BCK-algebras (SBCK-algebras). We introduce and characterize linear Diophantine fuzzy SBCK-subalgebras and linear Diophantine fuzzy SBCK-ideals ...
Amal S. Alali +4 more
doaj +1 more source
Teaching Congruences in Connection with Diophantine Equations
Education Sciences, 2021 The presented paper is devoted to the new teaching model of congruences of computer science students within the subject of discrete mathematics at universities.
Ďuriš Viliam +3 more
doaj +1 more source
Complexity, 2021 Linear Diophantine uncertain linguistic set (LDULS) is a modified variety of the fuzzy set (FS) to manage problematic and inconsistent information in actual life troubles.
Tahir Mahmood +6 more
doaj +1 more source
Pair correlation densities of inhomogeneous quadratic forms II
, 2002 Denote by $\| \cdot \|$ the euclidean norm in $\RR^k$. We prove that the local pair correlation density of the sequence $\| \vecm -\vecalf \|^k$, $\vecm\in\ZZ^k$, is that of a Poisson process, under diophantine conditions on the fixed vector $\vecalf\in ...
Marklof, Jens
core +3 more sources
Annals of Pure and Applied Logic, 1990 Let \(I\exists^-_ 1\) be the subsystem of Peano arithmetic obtained by restricting the induction scheme to diophantine formulas without parameters. The main result of the paper says that \(I\exists^-_ 1\vdash IE^-_ 1+E\vdash\) Matijasevič's theorem, where \(IE^-_ 1\) is the scheme of parameter-free bounded existential induction and E is an \(\forall ...
openaire +2 more sources
Triples which are $D(n)$-sets for several $n$'s
, 2017 For a nonzero integer $n$, a set of distinct nonzero integers $\{a_1,a_2,\ldots,a_m\}$ such that $a_ia_j+n$ is a perfect square for all $1\leq ...
Adžaga, Nikola +3 more
core +1 more source
On Hilbert's Tenth Problem [PDF]
, 2014 Using an iterated Horner schema for evaluation of diophantine polynomials, we define a partial $\mu$-recursive "decision" algorithm decis as a "race" for a first nullstelle versus a first (internal) proof of non-nullity for such a polynomial -- within a ...
Pfender, Michael
core
On primitive integer solutions of the Diophantine equation $t^2=G(x,y,z)$ and related results
, 2015 In this paper we investigate Diophantine equations of the form $T^2=G(\overline{X}),\; \overline{X}=(X_{1},\ldots,X_{m})$, where $m=3$ or $m=4$ and $G$ is specific homogenous quintic form. First, we prove that if $F(x,y,z)=x^2+y^2+az^2+bxy+cyz+dxz\in\Z[x,
Gawron, Maciej, Ulas, Maciej
core +1 more source
Some bounds related to the 2‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 2, April 2026.Abstract For every irrational real α$\alpha$, let M(α)=supn⩾1an(α)$M(\alpha) = \sup _{n\geqslant 1} a_n(\alpha)$ denote the largest partial quotient in its continued fraction expansion (or ∞$\infty$, if unbounded). The 2‐adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational α$\alpha$ such that M(2kα)$M(2^k \alpha)$ is ...
Dinis Vitorino, Ingrid Vukusic
wiley +1 more source