Number theory : proceedings of the Journées Arithmétiques held in Ulm, FRG, September 14-18, 1987

The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution. Applications of Cayley-Chow forms....Pages 1-18 Partitions into parts which are unequal and large....Pages 19-30 Links between solutions of A−B=C and elliptic curves....Pages 31-62 Factorizations of algebraic integers....Pages 63-74 Etude d'une famille modulaire de variétés abéliennes....Pages 75-86 Weyl's inequality and hua's inequality....Pages 87-92 Positive definite binary quadratic forms over k[X]....Pages 93-119 Mean value estimates for exponential sums....Pages 120-136 Some results on diophantine approximation related to Dirichlet's Theorem....Pages 137-149 On cliques of exceptional units and Lenstra's construction of Euclidean fields....Pages 150-178 Sumsets containing k-free integers....Pages 179-184 On the representation of 1 by binary cubic forms with positive discriminant....Pages 185-196 A linear relation between theta series of degree and weight 2....Pages 197-201 Integral points on curves and surfaces....Pages 202-241 Weak uniform distribution of second-order linear recurring sequences....Pages 242-253 Correspondance modulaire galois - quaternions pour un corps p-adique....Pages 254-266 Presents a selection of 15 papers of contributions to the Journees Arithmetiques 1987 that include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, and exponential sums. H.p. Schlickewei, E. Wirsing (eds.). Includes Bibliographical References.