Number theory : Séminaire de théorie des nombres de Paris, 1993-4 /

The contributions in this book are based on the lectures delivered at the Seminaire de theorie des nombres de Paris during the academic year 93-94. It is the fifteenth annual volume. This book covers the whole spectrum of number theory, and is composed of contributions from some of the best speciali...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Séminaire de théorie des nombres de Paris
Otros Autores: David, Sinnou
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Francés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 1996.
Colección:London Mathematical Society lecture note series ; 235.
Temas:
Number theory > Congresses.
Théorie des nombres > Congrès.
MATHEMATICS > Number Theory.
Number theory.
Zahlentheorie
Aufsatzsammlung
Kongress
Getaltheorie.
Nombres, Théorie des > Congrès.
Conference papers and proceedings.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Title; Copyright; Contents; Liste des conferenciers; On the Central Critical Value of the Triple ProductL-Function; 1.
  • Differential Operators; 2.
  • Unfolding the integral; 3.
  • The Euler factors; 4.
  • The Functional equation; 5.
  • Computation of the central critical value; References; Abelian extensions of complete discrete valuation fields; Introduction; Higher local theories; 1.
  • Multidimensional fields; 2.
  • Topology on the multiplicative group; 3.
  • Topology on K-groups; 4.
  • Pairings of the topological K-groups; 5.
  • Structure of K-groups; 6.
  • Norm; 7.
  • Kato's approach
  • 8.
  • Koya's approach9.
  • Parshin's approach; 10.
  • Explicit approach; Totally ramified abelian p-extensions and the group of principalunits; 11.
  • Perfect residue fields; 12.
  • General residue field case; References; Obstructions de Manin transcendantes; 1.
  • Rappels et notations; 2. -Un exemple d'obstruction de Manin transcendante au principede Hasse; 3.
  • Un exemple d'obstruction de Manin transcendante a 1'approximationfaible; 4.
  • Complements; BIBLIOGRAPHIE; On Selmer Groups of Adjoint Modular Galois RepresentationsHaruzo Hida*; 0.
  • Introduction; 1.
  • Control of differential modules
  • 2.
  • Control Theorems of universal ordinary deformation rings3.
  • Selmer groups; Appendix : control of universal deformation rings of representations; References; Algebres de Hecke et corps locaux proches; 1.
  • Introduction; 2.
  • L'idee : comparer l'analyse harmonique des groupes G(F) et G{E) pour F de caracteristique > 0 et E de caracteristique nulle.; 3.
  • Une preuve de la conjecture de Howe pour GL(N) en caracteristique> 0; 4.
  • Conclusion; Bibliographie; Aspects experimentaux de la conjecture abcAbderrahmane Nitaj; 1.
  • Introduction; 2. -Etude des rapports (1.2) et (1.3)
  • 3.
  • Recherche de bons triplets pour la conjecture abc.BIBLIOGRAPHIE; Heights of points on subvarieties of G,Wolfgang M. Schmidt*; 1.
  • Introduction; 2.
  • Lattices and Algebraic Groups; 3.
  • Proof of Theorem 1; 4.
  • Proof of Theorem 2; 5.
  • Heights; 6.
  • Auxiliary Lemmas; 7.
  • Proof of Theorem 3 when K
  • Q; 8.
  • Proof of Theorem 3 in general; 9.
  • A Variation; 10.
  • Proof of Theorem 4; 11. Proof of Theorem 5.; References.; Some applications of Diophantineapproximations to Diophantine equationsT.N. Shorey; 1.; 2.; REFERENCES
  • Fields containing values of algebraic functions and related questionsUmberto Zannier1.
  • Introduction; 2.
  • Proofs; References

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