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

The universal zeta function for curve singularities and its relation with global zeta functions

The purpose of this note is to give a brief overview on zeta functions of curve singularities and to provide some evidences on how these and global zeta functions associated to singular algebraic curves over perfect fields relate to each other.Comment: Survey on the "universal zeta function" defined for curve singularities by W. Z\'u\~niga and the author in their paper "Motivic zeta functions for curve singularities" [Nagoya Math. J. 198 (2010), 47-75]; a poster of it was presented in the "Workshop on Positivity and Valuations" held at the Centre de Recerca Matem\`atica, Barcelona, in 2016 February 22nd-26t

Impact of the Information and Communication Technologies on the Education of Students with Down Syndrome: a Bibliometric Study (2008- 2018)

This article analyzes the impact of the Information and Communication Technologies (ICT) on students with Down syndrome through the consult of scientific articles published during the 2008 to 2018 period, in five scientific journal databases utilized in the academic world. Through a descriptive and quantitative methodology, the most significant bibliometric data according to citation index is shown. Likewise, a methodology based on the analysis of co-words and clustering techniques is applied through a bibliometric maps, in order to determine the fields of scientific study. The results show that articles published have a medium-low index of impact. There are linked with the importance of using ICT with these students, from educational inclusion and accessibility perspective