EuDML | Browse

2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).

Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$

Robert M. Fossum, Phillip A. Griffith (1975)

Annales scientifiques de l'École Normale Supérieure

Convergence sets of divergent power series.

Avinash Sathaye (1976)

Journal für die reine und angewandte Mathematik

Das zariskische Diskriminantenkriterium und die Fortsetzung von Derivationen.

Erwin Böger (1981)

Manuscripta mathematica

Décomposition cellulaire de variétés paramétrant des idéaux homogènes de C [[x,y]]. Incidence des cellules - II -.

Joachim Yaméogo (1994)

Journal für die reine und angewandte Mathematik

Diagonales de fractions rationnelles et équations de Picard-Fuchs

Gilles Christol (1984/1985)

Groupe de travail d'analyse ultramétrique

Diagonalization and rationalization of algebraic Laurent series

Boris Adamczewski, Jason P. Bell (2013)

Annales scientifiques de l'École Normale Supérieure

We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime $p$ the reduction modulo $p$ of the diagonal of a multivariate algebraic power series $f$ with integer coefficients is an algebraic power series of degree at most $p^{A}$ and height at most $A p^{A}$ , where $A$ is an effective constant that only depends on...

Direct Limits of Power Series Rings.

Elizabeth A. Magarian (1972)

Mathematica Scandinavica

Ein Beweis des Hilbertschen Basissatzes.

Heidrun Sarges (1976)

Journal für die reine und angewandte Mathematik

Currently displaying 1 – 20 of 107

Page 1 Next