Book contents
- Frontmatter
- Contents
- Contributors
- Introduction
- 1 One Century of Logarithmic Forms
- 2 Report on p-adic Logarithmic Forms
- 3 Recent Progress on Linear Forms in Elliptic Logarithms
- 4 Solving Diophantine Equations by Baker's Theory
- 5 Baker's Method and Modular Curves
- 6 Application of the André–Oort Conjecture to some Questions in Transcendence
- 7 Regular Dessins, Endomorphisms of Jacobians, and Transcendence
- 8 Maass Cusp Forms with Integer Coefficients
- 9 Modular Forms, Elliptic Curves and the ABC-Conjecture
- 10 On the Algebraic Independence of Numbers
- 11 Ideal Lattices
- 12 Integral Points and Mordell–Weil Lattices
- 13 Forty Years of Effective Results in Diophantine Theory
- 14 Points on Subvarieties of Tori
- 15 A New Application of Diophantine Approximations
- 16 Search Bounds for Diophantine Equations
- 17 Regular Systems, Ubiquity and Diophantine Approximation
- 18 Diophantine Approximation, Lattices and Flows on Homogeneous Spaces
- 19 On Linear Ternary Equations with Prime Variables – Baker's Constant and Vinogradov's Bound
- 20 Powers in Arithmetic Progression
- 21 On the Greatest Common Divisor of Two Univariate Polynomials, I
- 22 Heilbronn's Exponential Sum and Transcendence Theory
19 - On Linear Ternary Equations with Prime Variables – Baker's Constant and Vinogradov's Bound
Published online by Cambridge University Press: 20 August 2009
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Book contents
- Frontmatter
- Contents
- Contributors
- Introduction
- 1 One Century of Logarithmic Forms
- 2 Report on p-adic Logarithmic Forms
- 3 Recent Progress on Linear Forms in Elliptic Logarithms
- 4 Solving Diophantine Equations by Baker's Theory
- 5 Baker's Method and Modular Curves
- 6 Application of the André–Oort Conjecture to some Questions in Transcendence
- 7 Regular Dessins, Endomorphisms of Jacobians, and Transcendence
- 8 Maass Cusp Forms with Integer Coefficients
- 9 Modular Forms, Elliptic Curves and the ABC-Conjecture
- 10 On the Algebraic Independence of Numbers
- 11 Ideal Lattices
- 12 Integral Points and Mordell–Weil Lattices
- 13 Forty Years of Effective Results in Diophantine Theory
- 14 Points on Subvarieties of Tori
- 15 A New Application of Diophantine Approximations
- 16 Search Bounds for Diophantine Equations
- 17 Regular Systems, Ubiquity and Diophantine Approximation
- 18 Diophantine Approximation, Lattices and Flows on Homogeneous Spaces
- 19 On Linear Ternary Equations with Prime Variables – Baker's Constant and Vinogradov's Bound
- 20 Powers in Arithmetic Progression
- 21 On the Greatest Common Divisor of Two Univariate Polynomials, I
- 22 Heilbronn's Exponential Sum and Transcendence Theory
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- A Panorama of Number Theory or The View from Baker's Garden , pp. 311 - 324Publisher: Cambridge University PressPrint publication year: 2002