2 citations · 5 across the 11 of their papers we have counts for
13 papers
Simple Methods for Finding Actual Congruent Number Triangles
Allan J. MacLeod
We present a, hopefully, elementary mathematical treatment of the computational aspects of congruent numbers, such that an amateur could understand the problem and perform their ow…
The congruent number descent of Komotu, Watanabe and Wada
Allan J. MacLeod
We present an elementary exposition of the descent method used by Komoto, Watanabe and Wada to show is a congruent number. We generalize to with prime, and try…
Computational Experiments on
Allan J. MacLeod
Computational approaches to finding non-trivial integer solutions of the equation in the title are discussed. We summarize previous work and provide several new solutions.
Elliptic Curves in Recreational Number Theory
Allan MacLeod
Several problems which could be thought of as belonging to recreational mathematics are described. They are all such that solutions to the problem depend on finding rational points…
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…
A Simple Method for High-Rank Families of Elliptic Curves with Specified Torsion
Allan J. MacLeod
We describe a simple, but effective, method for deriving families of elliptic curves, with high rank, all of whose members have the same torsion subgroup structure.