4 papers
math.NT2026
On special perfect polynomials over
O. Rahavandrainy
We give some necessary conditions satisfied by special perfect polynomials over .
math.NT2025
A variant of Collatz's Conjecture over Binary Polynomials
Luis H. Gallardo, Olivier Rahavandrainy
We study a natural analogue of Collatz's Conjecture for polynomials over .
math.NT2025
Non-splitting bi-unitary perfect polynomials over with less than five prime factors
Olivier Rahavandrainy
We identify all non-splitting bi-unitary perfect polynomials over the field , which admit at most four irreducible divisors. There is an infinite number of such divis…
math.CO2024
Combinatorial properties of Circulant Hadamard matrices
Luis H. Gallardo, Olivier Rahavandrainy, Reinhardt. Euler
We describe combinatorial properties of the defining row of a circulant Hadamard matrix by exploiting its orthogonality to subsequent rows, and show how to exclude several particul…