Mehdi Baghalagdam

most citedOn the Diophantine equation

\sum_{i = 1}^{n} a_{i} x_{i}^{4} = \sum_{j = 1}^{n} a_{j} y_{j}^{4}

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2017

On the sums of many biquadrates in two different ways

Farzali Izadi, Mehdi Baghalagdam

The beautiful quartic Diophantine equation $A^{4} + h B^{4} = C^{4} + h D^{4}$ , where $h$ is a fixed arbitrary positive integer, has been studied by some mathematicians for many years. Although Ch…

math.NT2017★ 2 cited

On the Diophantine equation $\sum_{i = 1}^{n} a_{i} x_{i}^{4} = \sum_{j = 1}^{n} a_{j} y_{j}^{4}$

Farzali Izadi, Mehdi Baghalagdam

In this paper, by using the elliptic curves theory, we study the fourth power Diophantine equation $\sum_{i = 1}^{n} a_{i} x_{i}^{4} = \sum_{j = 1}^{n} a_{j} y_{j}^{4}$ , where $a_{i}$ and $n \geq 3$ …

math.NT2017

On the Diophantine equations $\sum_{i = 1}^{n} a_{i} x_{i}^{6} + \sum_{i = 1}^{m} b_{i} y_{i}^{3} = \sum_{i = 1}^{n} a_{i} X_{i}^{6} \pm \sum_{i = 1}^{m} b_{i} Y_{i}^{3}$

Farzali Izadi, Mehdi Baghalagdam

In this paper, the elliptic curves theory is used for solving the Diophantine equations $\sum_{i=1}^n a_ix_{i} ^6+\sum_{i=1}^m b_iy_{i} ^3= \sum_{i=1}^na_iX_{i}^6\pm\sum_{i=1}^m b_…

On the sums of many biquadrates in two different ways

On the Diophantine equation ∑i=1n​ai​xi4​=∑j=1n​aj​yj4​

On the Diophantine equations ∑i=1n​ai​xi6​+∑i=1m​bi​yi3​=∑i=1n​ai​Xi6​±∑i=1m​bi​Yi3​

On the Diophantine equation $\sum_{i = 1}^{n} a_{i} x_{i}^{4} = \sum_{j = 1}^{n} a_{j} y_{j}^{4}$

On the Diophantine equations $\sum_{i = 1}^{n} a_{i} x_{i}^{6} + \sum_{i = 1}^{m} b_{i} y_{i}^{3} = \sum_{i = 1}^{n} a_{i} X_{i}^{6} \pm \sum_{i = 1}^{m} b_{i} Y_{i}^{3}$