Add to ORKGThis thesis focuses on the polynomial f(x, y, z) = x3 + y3 + z3 - 3xyz and the properties, stated as theorems, that can be solutions of cubic polynomials and functions having three variables or less are not readily available. Or, when available, they are complicated like the method of Tartaglia and Cardan and the Diophantine equations.Most of the formulas stated as theorems in this thesis were taken from the article My Favorite Polynomial by Desmond MacHale. The researchers provide the necessary definitions, proofs and examples of each theorem which were not given since MacHale provided only the proofs of three theorems
I present a method to solve the general cubic polynomial equation based on six years of research tha...
Abstract. We survey the known polynomial families of solutions of the Dio-phantine equation x3 + y3 ...
This thesis presents those methods in solving cubic equations. It is simple to follow and easy to un...
In recent decades, in some countries like Madagascar and France, the study of third degree polynomia...
Summary. In this paper, we describe the definition of the first, second, and third degree algebraic ...
and perplexed by the 3.1.3 cubic Pythagorean Diophantine equation, x3 + y3 + z3 = a3. Though complex...
AbstractHere quadratic and cubic σ-polynomials are characterized, or, equivalently, chromatic polyno...
In recent decades, in some countries such as Madagascar and France, the study of third degreepolynom...
The non-homogeneous cubic equation with three unknowns represented by the diophantine equation x3 +...
Abstract. The problem of finding rational or integral points of an ellip-tic curve basically boils d...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
The simplest case of Fermat's last theorem, the impossibility of solving x3 + y3 = z3 in nonzero int...
Last time, in the March/April 2006 issue, we finished up the discussion of solving quadratic equatio...
We construct the linear differential equations of third order satisfied by the classical 2-orthogona...
The present paper deal with three variables polynomial sets generated by functions of the form et?1(...
I present a method to solve the general cubic polynomial equation based on six years of research tha...
Abstract. We survey the known polynomial families of solutions of the Dio-phantine equation x3 + y3 ...
This thesis presents those methods in solving cubic equations. It is simple to follow and easy to un...
In recent decades, in some countries like Madagascar and France, the study of third degree polynomia...
Summary. In this paper, we describe the definition of the first, second, and third degree algebraic ...
and perplexed by the 3.1.3 cubic Pythagorean Diophantine equation, x3 + y3 + z3 = a3. Though complex...
AbstractHere quadratic and cubic σ-polynomials are characterized, or, equivalently, chromatic polyno...
In recent decades, in some countries such as Madagascar and France, the study of third degreepolynom...
The non-homogeneous cubic equation with three unknowns represented by the diophantine equation x3 +...
Abstract. The problem of finding rational or integral points of an ellip-tic curve basically boils d...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
The simplest case of Fermat's last theorem, the impossibility of solving x3 + y3 = z3 in nonzero int...
Last time, in the March/April 2006 issue, we finished up the discussion of solving quadratic equatio...
We construct the linear differential equations of third order satisfied by the classical 2-orthogona...
The present paper deal with three variables polynomial sets generated by functions of the form et?1(...
I present a method to solve the general cubic polynomial equation based on six years of research tha...
Abstract. We survey the known polynomial families of solutions of the Dio-phantine equation x3 + y3 ...
This thesis presents those methods in solving cubic equations. It is simple to follow and easy to un...