Results 31 to 40 of about 983 (218)

Linear Diophantine equations and congruences [PDF]

open access: yes, 2022
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantine equations. This work is divided into two parts. The first part is dedicated to congruences.
Kaňáková, Natálie
core  

Diophantine Equations Related to Linear Recurrence Sequences [PDF]

open access: yes, 2021
The aim of this dissertation is to investigate the solutions of some Diophantine equations connected to linear recurrence sequences. We firstly study the integer solutions of Diophantine equations related to reciprocals and repdigits with linear ...
Hashim, Hayder Raheem
core  

SOLUTIONS OF SOME LINEAR DIOPHANTINE EQUATIONS [PDF]

open access: yes, 2017
This paper concerns with the problem of obtaining solutions of some linear Diophantine ...
P. Reka
core   +1 more source

A Study of Symbolic 2-Plithogenic Split-Complex Linear Diophantine Equations in Two Variables [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
The equation 𝐴𝑋 + 𝐵𝑌 = 𝐶 is called symbolic 2-plithogenic linear Diophantine equation with two variables if 𝐴, 𝐵, 𝑋, 𝑌, 𝐶 are symbolic 2-plithogenic split-complex integers.
Rama Asad Nadweh   +3 more
doaj  

Elementary Deduction Problem for Locally Stable Theories with Normal Forms [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2013
We present an algorithm to decide the intruder deduction problem (IDP) for a class of locally stable theories enriched with normal forms. Our result relies on a new and efficient algorithm to solve a restricted case of higher-order associative ...
Mauricio Ayala-Rincón   +2 more
doaj   +1 more source

The Mathematical Safe Problem and Its Solution (Part 2)

open access: yesКібернетика та комп'ютерні технології, 2021
Introduction. The problem of mathematical safe arises in the theory of computer games and cryptographic applications. The article considers numerous variations of the mathematical safe problem and examples of its solution using systems of linear ...
Sergii Kryvyi, Hryhorii Hoherchak
doaj   +1 more source

Diophantine Equations Related with Linear Binary Recurrences

open access: yesIranian Journal of Mathematical Sciences and Informatics, 2022
Summary: In this paper we find all solutions of four kinds of the Diophantine equations \[ x^2 \pm V_t xy-y^2 \pm x=0 \text{ and } x^2 \pm V_txy-y^2 \pm y=0, \] for an odd number \(t\), and, \[ x^2 \pm V_txy+y^2-x=0 \text{ and } x^2 \pm V_txy+y^2-y=0, \] for an even number \(t\), where \(V_n\) is a generalized Lucas number.
Kilic, Emrah, Akkus, Ilker, Omur, Nese
openaire   +5 more sources

On a few Diophantine equations, in particular, Fermat's last theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
This is a survey on Diophantine equations, with the purpose being to give the flavour of some known results on the subject and to describe a few open problems.
C. Levesque
doaj   +1 more source

Mulatu Numbers Which Are Concatenation of Two Fibonacci Numbers

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
Let (M_k) be the sequence of Mulatu numbers defined by M_0=4, M_1=1, M_k=M_(k-1)+M_(k-2) and (F_k) be the Fibonacci sequence given by the recurrence F_k=F_(k-1)+F_(k-2) with the initial conditions F_0=0, F_1=1 for k≥2.
Fatih Erduvan, Merve Güney Duman
doaj   +1 more source

Non-Linear Diophantine Equation

open access: yesInternational Journal For Multidisciplinary Research, 2023
This paper is an important study about these Non-Linear Equation which have integer solution exists. i.e., Non-Linear Diophantine Equation, which have named by the famous Greek Mathematician Diophantus of Alexandria. In this paper we have focused to solve Non-Linear Diophantine Equations.
Jeetendra kumar -, S. N. Adhikary -
openaire   +1 more source

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