Diophantine Approximations and Diophantine Equations

1. Front Matter

   Pages I-VIII

   PDF

2. Siegel’s lemma and heights

   • Wolfgang M. Schmidt

   Pages 1-33

3. Diophantine approximation

   • Wolfgang M. Schmidt

   Pages 34-72

4. The thue equation

   • Wolfgang M. Schmidt

   Pages 73-126

5. S-unit equations and hyperelliptic equations

   • Wolfgang M. Schmidt

   Pages 127-175

6. Diophantine equations in more than two variables

   • Wolfgang M. Schmidt

   Pages 176-204

7. Back Matter

   Pages 205-217

   PDF

"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum

• Algebraic numbers
• Diophantine approximation
• Diophantine equation
• Diphantische Approximation
• Diphantische Gleichung
• algebra

"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum

Policies and ethics