8 citations · 12 across the 17 of their papers we have counts for
5 papers · 2 filters
On splitting bi-unitary perfect polynomials over
Luis H. Gallardo, Olivier Rahavandrainy
We give all splitting bi-unitary perfect polynomials over the field and some splitting ones over , if is an odd prime.
On Collatz Conjecture for binary polynomials
Luis H. Gallardo, Olivier Rahavandrainy
We build a variant of Collatz Conjecture for polynomials over and we prove that it is solved. By the way, we give several examples.
On odd perfect numbers of special forms
Luis H. Gallardo, Olivier. Rahavandrainy
We give necessary conditions for perfection of some families of odd numbers with special multiplicative forms. Extending earlier work of Steuerwald, Kanold, McDaniel et al.
Fixed points of the sum of divisors function on
Luis H. Gallardo
We work an analogue of a classical arithmetic problem over polynomials. More precisely, we study the fixed points of the sum of divisors function (de…
Some multiplicative functions over
Luis H. Gallardo, Olivier Rahavandrainy
We adapt (over ) the general notions of multiplicative function, Dirichlet convolution and Inverse. We get some interesting results, namely necessary conditions for a…