Diophantine Approximations and Diophantine Equations

  • Authors
  • Wolfgang M. Schmidt

Part of the Lecture Notes in Mathematics book series (LNM, volume 1467)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Wolfgang M. Schmidt
    Pages 1-33
  3. Wolfgang M. Schmidt
    Pages 34-72
  4. Wolfgang M. Schmidt
    Pages 73-126
  5. Wolfgang M. Schmidt
    Pages 127-175
  6. Wolfgang M. Schmidt
    Pages 176-204
  7. Back Matter
    Pages 205-217

About this book

Introduction

"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

Keywords

Algebraic numbers Diophantine approximation Diophantine equation Diphantische Approximation Diphantische Gleichung algebra

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0098246
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-54058-8
  • Online ISBN 978-3-540-47374-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book