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

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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.

Author(s): W. Dale Brownawell (auth.), Hans Peter Schlickewei, Eduard Wirsing (eds.)
Series: Lecture Notes in Mathematics 1380
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1989

Language: English-French
Pages: 272
City: New York
Tags: Number Theory

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