1 citations · 1 across the 4 of their papers we have counts for
5 papers
A note on the high power Diophantine equations
Mehdi Baghalaghdam, Farzali Izadi
In this paper, we solve the simultaneous Diophantine equations(SDE) x_1^u+...+x_n^u=k(y_1^u+...+y_{n/k}); u=1,3, where n >3, and k< n, is a divisor of n , and obtain nontrivial par…
On the simultaneous Diophantine equations m.(x_1^k+....+x_{t_1}^k)=n.(y_1^k+....+y_{t_2}^k); k=1,3
Farzali Izadi, Mehdi Baghalaghdam
In this paper, we solve the simultaneous Diophantine equations m.(x_1^k+....+x_{t_1}^k)=n.(y_1^k+....+y_{t_2}^k); k=1,3, where t_1, t_2>3, and m, n are fixed arbitrary and relative…
On the Diophantine equation in the form that a sum of cubes equals a sum of quintics
Farzali Izadi, Mehdi Baghalaghdam
We show how sums of some powers can be written as sums of some cubics
Positive-rank elliptic curves arising pythagorean triples
Farzali Izadi, Mehdi Baghalaghdam
In the present paper, we introduce some new families of elliptic curves with positive rank arrising from Pythagorean triples.
On the Diophantine equations X^3+Y^3+Z^3+aU^k=a_0U_0^{t_0}+...+a_nU_n^{t_n}, k=3,4
Farzali Izadi, Mehdi Baghalaghdam
In this paper, elliptic curves theory is used for solving the Diophantine equations X^3+Y^3+Z^3+aU^k=a_0U_0^{t_0}+...+a_nU_n^{t_n}, k=3,4 where n, ti are natural numbers and a, a_i…