Abstract: In a joint work with Diego Bravo, José Armando Vivero and Octavio Mendoza, we study a generalisation of the Igusa-Todorov functions which gives rise to a vast class of algebras satisfying the finitistic dimension conjecture. This algebras are called n-Lat-Igusa-Todorov and they include among others, the Igusa-Todorov algebras defined by J. Wei and the self-injective algebras.