Displaying similar documents to “Effective measures for algebraic independence of the values of Mahler type functions”

Multidimensional residues and ideal membership.

Alessandro Perotti (1998)

Publicacions Matemàtiques

Similarity:

Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process. We then consider the total sum of local residues of g w.r.t. f. If the zeroes of f are simple, this sum can be computed from a finite number of logarithmic residues. In...