3 papers
math.GM2026
On odd perfect numbers with exactly one even exponent greater than 2
Pascal Ochem, Joshua Zelinsky
We show that if all the even exponents of an odd perfect number N are equal to 2 except for one, then divides N .
math.CO2025
Words avoiding the morphic images of most of their factors
Pascal Ochem, Matthieu Rosenfeld
We say that a finite factor of a word is \emph{imaged} if there exists a non-erasing morphism , distinct from the identity, such that contains . We show that e…
cs.DM2024
Contact graphs of boxes with unidirectional contacts
Daniel Gonçalves, Vincent Limouzy, Pascal Ochem
This paper is devoted to the study of particular geometrically defined intersection classes of graphs. Those were previously studied by Magnant and Martin, who proved that these gr…