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Geometric and Analytic Number Theory

  • Edmund Hlawka
  • Rudolf Taschner
  • Johannes Schoißengeier

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-X
  2. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 1-18
  3. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 19-37
  4. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 38-70
  5. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 71-105
  6. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 106-137
  7. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 138-172
  8. Edmund Hlawka, Rudolf Taschner, Johannes Schoißengeier
    Pages 173-183
  9. Back Matter
    Pages 184-238

About this book

Introduction

In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap­ proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al­ ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books.

Keywords

Diophantine approximation Geometrie der Zahlen Prime Prime number Primzahlverteilung diophantische Approximation distribution of prime numbers geometry of numbers number theory

Authors and affiliations

  • Edmund Hlawka
    • 1
  • Rudolf Taschner
    • 1
  • Johannes Schoißengeier
    • 2
  1. 1.Institut für Analysis, Technische Mathematik und VersicherungsmathematikTechnische Universität WienWienAustria
  2. 2.Institut für MathematikUniversität WienWienAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-75306-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52016-0
  • Online ISBN 978-3-642-75306-0
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site