Results 31 to 40 of about 33,591 (180)
Solution to a pair of linear, two-variable, Diophantine equations with coprime coefficients from balancing and Lucas-balancing numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let Bₙ and Cₙ be the n-th balancing and Lucas-balancing numbers, respectively. We consider the Diophantine equations ax + by = (1/2)(a - 1)(b - 1) and 1 + ax + by = (1/2)(a - 1)(b - 1) for (a,b) ∈ {(Bₙ,Bₙ₊₁), (B₂ₙ₋₁,B₂ₙ₊₁), (Bₙ,Cₙ), (Cₙ,Cₙ₊₁)} and ...
R. K. Davala
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Diophantine integrability [PDF]
Journal of Physics A: Mathematical and General, 2005 6 pages, 4 ...
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Physica A: Statistical Mechanics and its Applications, 2008 We introduce a new class of deterministic networks by associating networks with Diophantine equations, thus relating network topology to algebraic properties. The network is formed by representing integers as vertices and by drawing cliques between M vertices every time that M distinct integers satisfy the equation.
Bedogne, C, Masucci, AP, Rodgers, GJ
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Some experiments with Ramanujan-Nagell type Diophantine equations [PDF]
, 2014 Stiller proved that the Diophantine equation $x^2+119=15\cdot 2^{n}$ has exactly six solutions in positive integers. Motivated by this result we are interested in constructions of Diophantine equations of Ramanujan-Nagell type $x^2=Ak^{n}+B$ with many ...
Ulas, Maciej
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On the existence of $S$-Diophantine quadruples [PDF]
, 2018 Let $S$ be a set of primes. We call an $m$-tuple $(a_1,\ldots,a_m)$ of distinct, positive integers $S$-Diophantine, if for all $i\neq j$ the integers $s_{i,j}:=a_ia_j+1$ have only prime divisors coming from the set $S$, i.e.
Ziegler, Volker
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NOTE ON THE DIOPHANTINE EQUATION [PDF]
, 2000 NOTE ON THE DIOPHANTINE ...
Atanassov, Krassimir +2 more
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Separable Diophantine Equations [PDF]
Transactions of the American Mathematical Society, 1945 Theoretically, as noted by Skolem [3, p. 21(1), the general problem of algebraic diophantine analysis is reducible to the case in which occur only equations and inequalities of degree not higher than the second. For the extensive class of separable systems defined in ?6, this reduction can be performed effectively, eventuating in the complete integer ...
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Diophantine triples in linear recurrence sequences of Pisot type [PDF]
, 2017 The study of Diophantine triples taking values in linear recurrence sequences is a variant of a problem going back to Diophantus of Alexandria which has been studied quite a lot in the past. The main questions are, as usual, about existence or finiteness
Fuchs, Clemens +2 more
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Emergency shelter materials under a complex non-linear diophantine fuzzy decision support system
Complex & Intelligent Systems, 2023 The distribution of emergency shelter materials in emergency cases around the world is a hard task, the goal of this research is to offer a Complex Non-linear Diophantine Fuzzy (C-NLDF) decision-making model for earthquake shelter construction ...
Maria Shams +2 more
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Multi-Objective Non-Linear Programming Problems in Linear Diophantine Fuzzy Environment
Axioms, 2023 Due to various unpredictable factors, a decision maker frequently experiences uncertainty and hesitation when dealing with real-world practical optimization problems.
Salma Iqbal +2 more
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