40 citations · 43 across the 4 of their papers we have counts for
4 papers
On the Lehmer Numbers, II
Gholam Reza Pourgholi, Hendrik Van Maldeghem
A composite number is called a Lehmer number when , where is the Euler totient function. Lehmer's totient problem asks if there exist any composite numbers $n…
On The Lehmer Numbers, I
Gholam Reza Pourgholi
A composite number is called Lehmer when , where is the Euler totient function. In 1932, D.~H.~Lehmer conjectured that there are no composite Lehmer numbers a…
Edge-maximality of power graphs of finite cyclic groups
Brian Curtin, Gholam Reza Pourgholi
We show that among all finite groups of any given order, the cyclic group of that order has the maximum number of edges in its power graph. Contains corrections to published versio…
A group sum inequality and its application to power graphs
Brian Curtin, Gholam Reza Pourgholi
Let be a finite group of order , and let be the cyclic group of order . We show that , with e…