Book contents
- Frontmatter
- Contents
- Introduction
- Preface
- 1 The origins
- 2 Linear forms in logarithms
- 3 Lower bounds for linear forms
- 4 Diophantine equations
- 5 Class numbers of imaginary quadratic fields
- 6 Elliptic functions
- 7 Rational approximations to algebraic numbers
- 8 Mahler’s classification
- 9 Metrical theory
- 10 The exponential function
- 11 The Siegel-Shidlovsky theorems
- 12 Algebraic independence
- Bibliography
- Original papers
- Further publications
- New developments
- Some developments since 1990
- Index
11 - The Siegel-Shidlovsky theorems
Published online by Cambridge University Press: 19 May 2022
- Frontmatter
- Contents
- Introduction
- Preface
- 1 The origins
- 2 Linear forms in logarithms
- 3 Lower bounds for linear forms
- 4 Diophantine equations
- 5 Class numbers of imaginary quadratic fields
- 6 Elliptic functions
- 7 Rational approximations to algebraic numbers
- 8 Mahler’s classification
- 9 Metrical theory
- 10 The exponential function
- 11 The Siegel-Shidlovsky theorems
- 12 Algebraic independence
- Bibliography
- Original papers
- Further publications
- New developments
- Some developments since 1990
- Index
Summary
- Type
- Chapter
- Information
- Transcendental Number Theory , pp. 109 - 117Publisher: Cambridge University PressPrint publication year: 2022