Number Theory

Applications of Cayley-Chow forms.- Partitions into parts which are unequal and large.- Links between solutions of A?B=C and elliptic curves.- Factorizations of algebraic integers.- Etude d'une famille modulaire de variétés abéliennes.- Weyl's inequality and hua's inequality.- Positive definite binary quadratic forms over k[X].- Mean value estimates for exponential sums.- Some results on diophantine approximation related to Dirichlet's Theorem.- On cliques of exceptional units and Lenstra's construction of Euclidean fields.- Sumsets containing k-free integers.- On the representation of 1 by binary cubic forms with positive discriminant.- A linear relation between theta series of degree and weight 2.- Integral points on curves and surfaces.- Weak uniform distribution of second-order linear recurring sequences.- Correspondance modulaire galois - quaternions pour un corps p-adique.