Book contents
- Frontmatter
- Contents
- Preface
- Contributors
- 1 On effective approximations to cubic irrationals
- 2 Applications of measure theory and Hausdorff dimension to the theory of Diophantine approximation
- 3 Galois representations and transcendental numbers
- 4 Some new results on algebraic independence of E-functions
- 5 Algebraic values of hypergeometric functions
- 6 Some new applications of an inequality of Mason
- 7 Aspects of the Hilbert Nullstellensatz
- 8 On the irrationality of certain series: problems and results
- 9 S-unit equations and their applications
- 10 Decomposable form equations
- 11 On Gelfond's method
- 12 On effective bounds for certain linear forms
- 13 Automata and transcendence
- 14 The study of Diophantine equations over function fields
- 15 Linear relations on algebraic groups
- 16 Estimates for the number of zeros of certain functions
- 17 An application of the S-unit theorem to modular forms on Γ0(N)
- 18 Lower bounds for linear forms in logarithms
- 19 Reducibility of lacunary polynomials, IX
- 20 The number of solutions of Thue equations
- 21 On arithmetic properties of the values of E-functions
- 22 Some exponential Diophantine equations
- 23 Arithmetic specializations theory
- 24 On the transcendence methods of Gelfond and Schneider in several variables
- 25 A new approach to Baker's theorem on linear forms in logarithms III
- 26 Linear forms in logarithms in the p-adic case
17 - An application of the S-unit theorem to modular forms on Γ0(N)
Published online by Cambridge University Press: 05 January 2012
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Book contents
- Frontmatter
- Contents
- Preface
- Contributors
- 1 On effective approximations to cubic irrationals
- 2 Applications of measure theory and Hausdorff dimension to the theory of Diophantine approximation
- 3 Galois representations and transcendental numbers
- 4 Some new results on algebraic independence of E-functions
- 5 Algebraic values of hypergeometric functions
- 6 Some new applications of an inequality of Mason
- 7 Aspects of the Hilbert Nullstellensatz
- 8 On the irrationality of certain series: problems and results
- 9 S-unit equations and their applications
- 10 Decomposable form equations
- 11 On Gelfond's method
- 12 On effective bounds for certain linear forms
- 13 Automata and transcendence
- 14 The study of Diophantine equations over function fields
- 15 Linear relations on algebraic groups
- 16 Estimates for the number of zeros of certain functions
- 17 An application of the S-unit theorem to modular forms on Γ0(N)
- 18 Lower bounds for linear forms in logarithms
- 19 Reducibility of lacunary polynomials, IX
- 20 The number of solutions of Thue equations
- 21 On arithmetic properties of the values of E-functions
- 22 Some exponential Diophantine equations
- 23 Arithmetic specializations theory
- 24 On the transcendence methods of Gelfond and Schneider in several variables
- 25 A new approach to Baker's theorem on linear forms in logarithms III
- 26 Linear forms in logarithms in the p-adic case
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- New Advances in Transcendence Theory , pp. 270 - 279Publisher: Cambridge University PressPrint publication year: 1988