Dérivées et différences divisées à valeurs entières
Die Verteilung der Primteiler von Polynomen auf Restklassen. II.
Dynatomic cycles for morphisms of projective varieties.
Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains.
El Famoso Polinomio Generador De Primos De Euler Y El Numero De Clase De Los Cuerpos Cuadraticos Imaginarios.
Equations for Mahler measure and isogenies
We study some functional equations between Mahler measures of genus-one curves in terms of isogenies between the curves. These equations have the potential to establish relationships between Mahler measure and especial values of -functions. These notes are based on a talk that the author gave at the “Cuartas Jornadas de Teoría de Números”, Bilbao, 2011.
Estimating heights using auxiliary functions
Existence of an unramified cyclic extension and congruence conditions
Explicit decomposition of a rational prime in a cubic field.
Extensions diedrales et courbes elliptiques
Factoring polynomials over global fields
We prove that van Hoeij’s original algorithm to factor univariate polynomials over the rationals runs in polynomial time, as well as natural variants. In particular, our approach also yields polynomial time complexity results for bivariate polynomials over a finite field.
Factoring Polynomials with Rational Coefficients.
Factorisation de suites récurrentes linéaires et applications
Factorisation of over Q
Familles fermées de n-uples de nombres algébriques
Finite Polynomial Orbits in Finitely Generated Domains.
G-fonctions et théorème d'irreductibilite de Hilbert
Global restrictions on ramification in number fields.
Greatest distance between zeros of integral polynomials
Hasse Principles in algebraic equations