Number Theory: Paris 1992-3

ISBN-13: 9780521559119 / Angielski / Miękka / 1995 / 304 str.

Sinnou David; J. W. S. Cassels; N. J. Hitchin

Opis

This volume discusses the whole spectrum of number theory with many contributions from some of the world's leading figures. Contributors cover the very latest research developments and much of the work presented here will not be found elsewhere. Also included are surveys that will guide the reader through the extensive published literature. This text will be a necessary addition to the libraries of all workers in number theory.

Spis treści

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.