H. M. Malik

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math.NT2014

Solution of the Diophantine Equation $x_{1} x_{2} x_{3} \dots x_{m - 1} = z^{n}$

Zahid Raza, Hafsa Masood Malik

This work determine the entire family of positive integer solutions of the diophantine equation. The solution is described in terms of $\frac{( m - 1 ) ( m + n - 2 )}{2}$ or $\frac{(m-1)(m+n…

math.NT2014

Solution of Certain Pell Equations

Zahid Raza, Hafsa Masood Malik

Let $a, b, c$ be any positive integers such that $c ∣ ab$ and $d_{i}^{\pm}$ is a square free positive integer of the form $d_{i}^{\pm} = a^{2 k} b^{2 l} \pm i c^{m}$ where $k, l \geq m$ and $i=1,…

Solution of the Diophantine Equation x1​x2​x3​⋯xm−1​=zn

Solution of Certain Pell Equations

Solution of the Diophantine Equation $x_{1} x_{2} x_{3} \dots x_{m - 1} = z^{n}$