Transcendental numbers /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shidlovskiĭ, A. B.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : De Gruyter, 2011.
Colección:De Gruyter studies in mathematics ; 12.
Temas:
Transcendental numbers.
Nombres transcendants.
Transcendental numbers
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Foreword
  • Preface to the English edition
  • Preface
  • Notation
  • Introduction
  • Chapter 1: Approximation of real and algebraic numbers
  • Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points
  • Chapter 3: Transcendence and algebraic independence of the values of [Epsilon]-functions which are not connected by algebraic equations over the field of rational functions
  • Chapter 4: Transcendence and algebraic independence of the values of [Epsilon]-functions which are connected by algebraic equations over the field of rational functions
  • Chapter 5: Transcendence and algebraic independence of the values of [Epsilon]-functions which satisfy first order linear differential equations
  • Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations
  • Chapter 7: Solutions of certain linear differential equations of arbitrary order
  • Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order
  • Chapter 9: Siegel's Theorem
  • Chapter 10: Solutions of linear differential equations of prime order p
  • Chapter 11: The algebraic independence measure of values of IE-functions
  • Chapter 12: The algebraic independence measure of values of KE-functions
  • Chapter 13: Effective bounds for measures
  • Concluding remarks
  • Supplementary remarks on recent work for the English edition
  • Bibliography
  • Backmatter.

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