Igusa-Todorov functions for Artin algebras
  In this paper we study the behaviour of the Igusa-Todorov functions for Artin algebras A with finite injective dimension, and Gorenstein algebras as a particular case. We show that the $\phi$-dimension and $\psi$-dimension are finite in both cases. Also we prove that monomial, gentle and cluster tilted algebras have finite $\phi$-dimension and finite $\psi$-dimension. 
Marcelo Lanzilotta and Gustavo Mata
math.RT math.KT