Mahler's measure of a polynomial in terms of the number of its monomials
Metric theorems on the approximation of zero by a linear combination of polynomials with integral coefficients
Minorations pour les mesures de Mahler de certains polynômes particuliers
Dans cet article nous donnons des minorations de la mesure de Mahler des polynômes totalement positifs et totalement réels. Ces résultats sont supérieurs à ceux obtenus par A. Schinzel, M. J. Bertin et V. Flammang.
Multiplicative polynomials and Fermat's little theorem for non-primes.
Multiply integer-valued polynomials in a Galois field.
Multivariable polynomial injections on rational numbers
Near solutions of polynomial equations
Nested squares and evaluations of integer products.
Noether forms for the study of non-composite rational functions and their spectrum
Nombres de racines d’un polynôme entier modulo
Nous montrons que l’ensemble des racines modulo une puissance d’un nombre premier d’un polynôme à coefficients entiers de degré est une union d’au plus progressions arithmétiques de modules assez grands. Nous en déduisons une majoration du nombre de ses racines dans un intervalle réel court.
Nonstandard arithmetic of iterated polynomials.
Norms of factors of polynomials
Note sur la méthode d'élimination de Bezout
O sedmnáctém Hilbertově problému
On a class of polynomials with integer coefficients.
On a class of ternary inclusion-exclusion polynomials.
On a decomposition of polynomials in several variables
One considers representation of a polynomial in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.
On a generalization of the Beiter Conjecture
We prove that for every ε > 0 and every nonnegative integer w there exist primes such that for the height of the cyclotomic polynomial is at least , where and is a constant depending only on w; furthermore . In our construction we can have for all i = 1,...,w and any function h: ℝ₊ → ℝ₊.
On a polynomial conjecture of Pál Turán
On a sequence of nonsolvable quintic polynomials.