A. S. Zargar

activity

20152025

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Showing 2016Show all

3 papers · 1 filter

math.NT2016

On the Diophantine equations $z^{2} = f (x)^{2} \pm f (y)^{2}$ involving Laurent polynomials

Yong Zhang, Arman Shamsi Zargar

By the theory of elliptic curves, we study the nontrivial rational parametric solutions and rational solutions of the Diophantine equations $z^{2} = f (x)^{2} \pm f (y)^{2}$ for some simple…

math.NT2016

A parametrised family of Mordell curves

Ajai Choudhry, Arman Shamsi Zargar

An elliptic curve defined by an equation of the type $y^{2} = x^{3} + d$ is called a Mordell curve. We obtain a parametrised family of Mordell curves whose rank, in general, is at least th…

math.NT2016

On Parametric Spaces of Bicentric Quadrilaterals

Farzali Izadi, Foad Khoshnam, Allan J. MacLeod +1

In Euclidean geometry, a bicentric quadrilateral is a convex quadrilateral that has both a circumcircle passing through the four vertices and an incircle having the four sides as t…

On the Diophantine equations z2=f(x)2±f(y)2 involving Laurent polynomials

A parametrised family of Mordell curves

On Parametric Spaces of Bicentric Quadrilaterals

On the Diophantine equations $z^{2} = f (x)^{2} \pm f (y)^{2}$ involving Laurent polynomials