Publication date
October 2004
DOIAbstract
For certain choices of the coefficients a, b, c the solutions of the Diophantine equation ax4+by4 = cz2 in Gaussian integers satisfy xy = 0
For certain choices of the coefficients a, b, c the solutions of the Diophantine equation ax4+by4 = cz2 in Gaussian integers satisfy xy = 0
This paper treats the dίophantίne equation dV2- 2eVW- dW2 = 1, where d and e are positive integers, ...
Let t ? 2 be an integer. In this work, we consider the number of integer solutions of Diophantine eq...
In this work we determine an infinit sequence of different values of C for which the diophantine equ...
We provide explicit formulae for primitive, integral solutions to the Diophantine equation x2+y2=M ,...
The quadratic equation with four unknowns given by is analysed for its non-zero distinct integer sol...
THEOREM. The equation of the title has no solutions in positive integers x, y for any value of the p...
In this paper we search for solutions in Gaussian integers to some known Diophantine equations.En es...
AbstractThis paper presents a complete and symmetric solution of the diophantine equation of the tit...
This paper treats the diophantine equation dV2 - 2eVW - dW2 = 1, where d and e are positive integers...
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine e...
Using the theory of Pellian equations, we show that the Diophantine equations have infi...
he purpose of this study is to determine the existence, types and the cardinality of the solutions f...
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integ...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
for p >= 3 and a square-free integer p(2) - 4. In addition to these, all solutions of some different...
This paper treats the dίophantίne equation dV2- 2eVW- dW2 = 1, where d and e are positive integers, ...
Let t ? 2 be an integer. In this work, we consider the number of integer solutions of Diophantine eq...
In this work we determine an infinit sequence of different values of C for which the diophantine equ...
We provide explicit formulae for primitive, integral solutions to the Diophantine equation x2+y2=M ,...
The quadratic equation with four unknowns given by is analysed for its non-zero distinct integer sol...
THEOREM. The equation of the title has no solutions in positive integers x, y for any value of the p...
In this paper we search for solutions in Gaussian integers to some known Diophantine equations.En es...
AbstractThis paper presents a complete and symmetric solution of the diophantine equation of the tit...
This paper treats the diophantine equation dV2 - 2eVW - dW2 = 1, where d and e are positive integers...
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine e...
Using the theory of Pellian equations, we show that the Diophantine equations have infi...
he purpose of this study is to determine the existence, types and the cardinality of the solutions f...
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integ...
We know already that the set Of positive integers, which are satisfying the Pythagoras equation Of t...
for p >= 3 and a square-free integer p(2) - 4. In addition to these, all solutions of some different...
This paper treats the dίophantίne equation dV2- 2eVW- dW2 = 1, where d and e are positive integers, ...
Let t ? 2 be an integer. In this work, we consider the number of integer solutions of Diophantine eq...
In this work we determine an infinit sequence of different values of C for which the diophantine equ...
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