Add to ORKGIn the diploma work the square Diophantine equations are presented, attached to Pythagoras' Theorem and are tightly linked to Pell's equation , where D represents a natural number which is not a perfect square. The Cattle Problem is discussed, which can be translated into Pell's equation . To Pell's equation are leading also the square triangular numbers
Pythagoras ’ Theorem is a result known by almost every secondary school child around the world. Well...
A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. Examples include...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
Systematic relations between the algebra of the Pell equations, x^2 - Dy^2 = 1 (called Pell-1) and x...
Abstract In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the...
The Pythagorean numbers play a significant role in the theory of higher arithmetic as they come in t...
Links of balancing and cobalancing numbers with Pell and associated Pell numbers are established. It...
Pell equation (alternatively called the Pell- Fermat equation) is a type of a Diophantine equation o...
Elements of the Pell sequence satisfy a class of second order linear recurrence relations which inte...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
Triangular numbers denoted by T-n are the numbers of the form T-n = n(2+1)/2 for n >= 0. There are i...
In this work we deduce some new algebraic relations on balancing numbers and their relationships wit...
The binary quadratic Diophantine equation represented by the positive pellian is analyzed for i...
The article explores one of the important relations between numbers-the Pythagorean triples (triplet...
Pythagoras ’ Theorem is a result known by almost every secondary school child around the world. Well...
A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. Examples include...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
Systematic relations between the algebra of the Pell equations, x^2 - Dy^2 = 1 (called Pell-1) and x...
Abstract In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the...
The Pythagorean numbers play a significant role in the theory of higher arithmetic as they come in t...
Links of balancing and cobalancing numbers with Pell and associated Pell numbers are established. It...
Pell equation (alternatively called the Pell- Fermat equation) is a type of a Diophantine equation o...
Elements of the Pell sequence satisfy a class of second order linear recurrence relations which inte...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
Triangular numbers denoted by T-n are the numbers of the form T-n = n(2+1)/2 for n >= 0. There are i...
In this work we deduce some new algebraic relations on balancing numbers and their relationships wit...
The binary quadratic Diophantine equation represented by the positive pellian is analyzed for i...
The article explores one of the important relations between numbers-the Pythagorean triples (triplet...
Pythagoras ’ Theorem is a result known by almost every secondary school child around the world. Well...
A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. Examples include...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...