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Zusammenfassung This is the fourteenth annual volume arising from the Seminaire des Theorie des Nombres de Paris! with many contributions from some of the world's leading figures. The very latest research developments are covered and much of the work presented here will not be found elsewhere. Also included are surveys that will serve to guide the reader through the extensive published literature. Inhaltsverzeichnis 1. Decomposition of the integers as a direct sum of two subsets K. Alladi; 2. Théorie des motifs et interpretation géométrique des valeurs p-adic de G-functions (une introduction) Y. André; 3. A refinement of the Faltings-Serre method N. Boston; 4. Sous-variétés algébraique des variétés semi-abéliennes sur un corps fini N. Boxall; 5. Propriétés transcendentes des fonctions automorphes P. Cohen; 6. Supersingular primes common to two elliptic curves E. Fouvry and M. Ram Murty; 7. Arithmetical lifting and its applications V. Gritsenko; 8. Towards an arithmetical analysis of the continuum G. Harman; 9. On G-adic forms of half integral weight for SL(2)/Q H. Hida; 10. Structures algébraique sur les réseaux J. Martinet; 11. Construction of elliptic units in function fields H. Oouhaba; 12. Arbres, ordres maximaux et formes quadratiques entiéres I. Pays; 13. On a conjecture that a product of k consecutive positive integers is never equal to a product of mk consecutive positive integers except for 8.9.10=6! T. N. Shorey; 14. Rédei-matrices and applications P. Stevenhagen; 15. Decomposition of the integers as a direct sum of two subsets R. Tijdeman; 16. CM Abelian varieties with almost ordinary reductions Y. G. Zahrin.
