Semi-k-free Integers.
Small values of the Euler function and the Riemann hypothesis
Some problems in number theory that arise from group theory.
In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Some results on Oppenheim's "Factorisatio Numerorum" function
Square free values of the order function.
Sur le graphe divisoriel