Punctured distributions in the rational function fields

Abstract

Let M be a nonconstant polynomial in the polynomial ring R-T = F-q[T] over the finite field F-q. We show that the universal ordinary punctured distribution on 1/MRT/R-T is a free abelian group and determine irs rank. We also compute the torsion subgroups of the universal ordinary punctured even and odd distributions (C) 2001 Academic Press.