3 citations · 3 across the 1 of their papers we have counts for
3 papers
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…
math.NT2015
Rank of elliptic curves associated to the Brahmagupta quadrilaterals
Farzali Izadi, Foad Khoshnam, Arman Shamsi Zargar
In this paper, we construct a family of elliptic curves of rank at least five. To do so, we use the Brahmagupta formula for the area of cyclic quadrilaterals no…
math.NT2010★ 3 cited
On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples
F. A. Izadi, K. Nabardi, Foad Khoshnam
The aim of this paper is to introduce a new family of elliptic curves in the form of that have positive ranks. We first generate a list of pythagorean triples…