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