Fractional ideals and integration with respect to the generalised Euler   characteristic
  Let $b$ be a fractional ideal of a one-dimensional Cohen-Macaulay local ring $O$ containing a perfect field $k$. This paper is devoted to the study some $O$-modules associated with $b$. In addition, different motivic Poincar\'e series are introduced by considering ideal filtrations associated with $b$; the corresponding functional equations of these Poincar\'e series are also described. 
Julio Jos\'e Moyano-Fern\'andez
math.AG math.AC