Localisation des zéros de polynômes par rapport au cercle unité
Location of the critical points of certain polynomials
Let D¯ denote the unit disk {z : |z| < 1} in the complex plane C. In this paper, we study a family of polynomials P with only one zero lying outside D¯. We establish criteria for P to satisfy implying that each of P and P' has exactly one critical point outside D¯.
Lower Bounds for the Zeros of Analytic Functions.
Majoration de la norme des facteurs d'un polynôme : cas où toutes les racines du polynôme sont réelles
Majoration du nombre de zéros d’une somme polynomiale d’exponentielles -adiques
Meandering of trajectories of polynomial vector fields in the affine n-space.
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives.This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted...
Minimal surfaces of finite type
Möbius convolutions and the Riemann hypothesis.
Multiplicity estimates for analytic functions. I.
Nombre de zéros des fonctions exponentielles-polynômes
Norms of certain rational functions of a matrix and Schur's criterion for polynomials
Note on a role for entire functions of the classes P and P*.
Notes on the roots of Steiner polynomials.
Numerical condition of polynomials in different forms.
On a certain functional equation in the algebra of polynomials with complex coefficients.
On a class of higher order methods for simultaneous rootfinding of generalized polynomials.
On a conjecture of A. Schinzel and H. Zassenhaus
On a Conjecture of Sendov about the Critical Points of a Polynomial.
On a Global Descent Method for Polynomials.
On a polynomial inequality of P. Erdős and T. Grünwald.