Number Theory: Proceedings of the Journées Arithmétiques held in Ulm, FRG, September 14–18, 1987

W. Dale Brownawell (auth.), Hans Peter Schlickewei, Eduard Wirsing (eds.)9780387513973, 0-387-51397-3

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.

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Table of contents :
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