Add to ORKG1. Four Related Problems. - All letters in formulas denote rational integers, and solution means the complete solution in such integers. The problem of solving the simultaneous diophantine equations rX^2 + mY^2 = rZ^2, sX^2 + nY^2 = sW^2 includes as special cases two classical problems
In this note parametric solutions of certain diophantine equations are given. The method of obtainin...
Using elementary number theory we study Diophantine equations over the rational integers of the foll...
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantin...
Introduction and Statement of Problem The idea of congruence, introduced by Carl Guass, has many app...
For positive integers x, y, the equation x4 + (n2-2)y - z always has the trivial solution x - y. In ...
summary:This paper investigates the system of equations \[x^2+ay^m=z_1^2, \quad \quad x^2-ay^m=z_2^2...
Includes bibliographical references (page 33)An equation which contains two or more variables and sa...
[[abstract]]In this paper, we discuss the positive integers solutions of the Diophantine equations x...
In this thesis we study the Diophantine equation xp - Dy2p = z2; gcd(x; z) = 1; p prime: We combin...
Assuming the Birch and Swinnerton-Dyer conjecture, an odd square-free integer $n$ is a congruent num...
AbstractIn this paper we give some necessary conditions satisfied by the integer solutions of the Di...
AbstractCertain diophantine equations of the form x2 − Dy2 = nz2 are solved parametrically. In parti...
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integ...
In this work, I examine specific families of Diophantine equations and prove that they have no solut...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
In this note parametric solutions of certain diophantine equations are given. The method of obtainin...
Using elementary number theory we study Diophantine equations over the rational integers of the foll...
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantin...
Introduction and Statement of Problem The idea of congruence, introduced by Carl Guass, has many app...
For positive integers x, y, the equation x4 + (n2-2)y - z always has the trivial solution x - y. In ...
summary:This paper investigates the system of equations \[x^2+ay^m=z_1^2, \quad \quad x^2-ay^m=z_2^2...
Includes bibliographical references (page 33)An equation which contains two or more variables and sa...
[[abstract]]In this paper, we discuss the positive integers solutions of the Diophantine equations x...
In this thesis we study the Diophantine equation xp - Dy2p = z2; gcd(x; z) = 1; p prime: We combin...
Assuming the Birch and Swinnerton-Dyer conjecture, an odd square-free integer $n$ is a congruent num...
AbstractIn this paper we give some necessary conditions satisfied by the integer solutions of the Di...
AbstractCertain diophantine equations of the form x2 − Dy2 = nz2 are solved parametrically. In parti...
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integ...
In this work, I examine specific families of Diophantine equations and prove that they have no solut...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
In this note parametric solutions of certain diophantine equations are given. The method of obtainin...
Using elementary number theory we study Diophantine equations over the rational integers of the foll...
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantin...