Number Theory

1. Front Matter

   Pages I-V

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2. Applications of Cayley-Chow forms

   • W. Dale Brownawell

   Pages 1-18

3. Partitions into parts which are unequal and large

   • P. Erdös, M. Szalay, J. L. Nicolas

   Pages 19-30

4. Links between solutions of A−B=C and elliptic curves

   • Gerhard Frey

   Pages 31-62

5. Factorizations of algebraic integers

   • Alfred Geroldinger

   Pages 63-74

6. Etude d'une famille modulaire de variétés abéliennes

   • Roland Gillard

   Pages 75-86

7. Weyl's inequality and hua's inequality

   • D. R. Heath-Brown

   Pages 87-92

8. Positive definite binary quadratic forms over k[X]

   • Yves Hellegouarch

   Pages 93-119

9. Mean value estimates for exponential sums

   • M. Jutila

   Pages 120-136

10. Some results on diophantine approximation related to Dirichlet's Theorem

    • Hans G. Kopetzky

    Pages 137-149

11. On cliques of exceptional units and Lenstra's construction of Euclidean fields

    • Armin Leutbecher, Gerhard Niklasch

    Pages 150-178

12. Sumsets containing k-free integers

    • Melvyn B. Nathanson

    Pages 179-184

13. On the representation of 1 by binary cubic forms with positive discriminant

    • Attila Pethö

    Pages 185-196

14. A linear relation between theta series of degree and weight 2

    • Rainer Schulze-Pillot

    Pages 197-201

15. Integral points on curves and surfaces

    • Joseph H. Silverman

    Pages 202-241

16. Weak uniform distribution of second-order linear recurring sequences

    • Gerhard Turnwald

    Pages 242-253

17. Correspondance modulaire galois - quaternions pour un corps p-adique

    • Marie-France Vignéras

    Pages 254-266

18. Back Matter

    Pages 267-270

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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.

• Abelian varieties
• Diophantine approximation
• algebra
• algebraic geometry
• elliptic curve
• modular form
• number theory
• quadratic form

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