Number theory : Séminaire de théorie des nombres de Paris, 1993-4 / edited by Sinnou David.

Format:

Book

Conference/Event

Author/Creator:

Séminaire de théorie des nombres de Paris, Corporate Author.

Contributor:

David, Sinnou, editor.

Conference Name:

Séminaire de théorie des nombres de Paris (1993-1994)

Sâeminaire de thâeorie des nombres de Paris

Series:

London Mathematical Society lecture note series ; 235.

London Mathematical Society lecture note series ; 235

Language:

English

Subjects (All):

Number theory--Congresses.

Number theory.

Physical Description:

1 online resource (213 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1996.

Language Note:

English

Summary:

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 specialists worldwide. Together they constitute the latest developments in number theory that will be an invaluable resource for all workers in that area.

Contents:

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

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88528-6

1-107-36742-5

1-107-37199-6

1-107-36251-2

1-107-36843-X

1-299-40505-3

1-107-36496-5

0-511-66200-9