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Number Theory.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Murty, V. Kumar
Autor Corporativo: Ramanujan Mathematical Society (Content Provider.)
Otros Autores: Waldschmidt, Michel
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1997.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Part I. Arithmetic Algebraic Geometry
  • Relative splitting of one-motives
  • The Hasse principle in a pencil of algebraic varieties
  • Stark-Heegner points over real quadratic fields
  • On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces
  • The ABC conjecture and exponents of class groups of quadratic fields
  • Heights of points on subvarieties of Gnm
  • A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture
  • Part II. Automorphic Forms
  • Determinant of representations of division algebras of prime degree over local fields
  • Mod p modular formsOn exceptions of integral quadratic forms
  • A brief survey on the theta correspondence
  • Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations
  • Part III. Elementary and Analytic Number Theory
  • A new key identity for GÃœllnitz' (Big) partition theorem
  • Some local-convexity theorems for the zeta-function-like analytic functions
  • III
  • Perfect powers in products of terms in an arithmetical progression IV
  • On some connections between probability and number theory
  • Inhomogeneous minima of a class of quaternary quadratic forms of type (2,2)On an arithmetical inequality, II
  • Part IV. Transcendental Number Theory
  • Algebraic numbers close to 1: results and methods
  • Transcendence in positive characteristic
  • Minorations des hauteurs normalisées des sous-variétés de variétés abéliennes
  • Klein polygons and geometric diagrams
  • Sails and Klein polyhedra
  • Automata and transcendence