Add to ORKGThis thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Linear Diophantine Equations in two unknowns. The relationship between the mediant and adjacent Farey Fractions is shown.The thesis itself is based on the article by T.E. Kriewall regarding Mckay\u27s Theorem and Farey sequences. However, Kriewall restricted himself to the use of only the left adjacent Farey Fraction. The researchers presented the use of the other fraction in the quest for a solution to the equation.Furthermore, the researchers incorporated the principles stated by Kriewall into a program written in Turbo Pascal whose sole purpose is to determine the solutions to a given Linear Diophantine Equation
It is well – known that there are algorithms to solve the Diophantine equation ax + by = 1 such as E...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
In this paper we present severals sets of mathematical tools for characterizing the solutions of lin...
TITLE: Diophantine equations SUMMARY: The thesis focuses on Diophantine Equations. Linear and quadra...
The study presents the theory of convergents of simple finite continued fractions and diophantine eq...
In this paper we apply combinatoric principle on linear diophantine equation. The method being used ...
2This version of the thesis was updated in October 2014. The update only concerns the presentation a...
This paper concerns with the problem of obtaining solutions of some linear Diophantine equations
Diophantine analysis is an area of number theory concerned with finding integral solutions to polyno...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
Abstract: Two algorithms for solving Diophantine linear equations and five algorithms for solving Di...
AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical resul...
The subject of diophantine approximation is a classical mathematic problem, as old as it is well stu...
This report represents GCD, euclidean algorithm, linear diophantine equation and linear congruential...
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantin...
It is well – known that there are algorithms to solve the Diophantine equation ax + by = 1 such as E...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
In this paper we present severals sets of mathematical tools for characterizing the solutions of lin...
TITLE: Diophantine equations SUMMARY: The thesis focuses on Diophantine Equations. Linear and quadra...
The study presents the theory of convergents of simple finite continued fractions and diophantine eq...
In this paper we apply combinatoric principle on linear diophantine equation. The method being used ...
2This version of the thesis was updated in October 2014. The update only concerns the presentation a...
This paper concerns with the problem of obtaining solutions of some linear Diophantine equations
Diophantine analysis is an area of number theory concerned with finding integral solutions to polyno...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
Abstract: Two algorithms for solving Diophantine linear equations and five algorithms for solving Di...
AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical resul...
The subject of diophantine approximation is a classical mathematic problem, as old as it is well stu...
This report represents GCD, euclidean algorithm, linear diophantine equation and linear congruential...
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantin...
It is well – known that there are algorithms to solve the Diophantine equation ax + by = 1 such as E...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
In this paper we present severals sets of mathematical tools for characterizing the solutions of lin...