Universitext

Geometric and Analytic Number Theory

Authors: Hlawka, Edmund, Schoißengeier, Johannes, Taschner, Rudolf

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  • ISBN 978-3-642-75306-0
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About this Textbook

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.

Table of contents (7 chapters)

  • The Dirichlet Approximation Theorem

    Hlawka, Edmund (et al.)

    Pages 1-18

  • The Kronecker Approximation Theorem

    Hlawka, Edmund (et al.)

    Pages 19-37

  • Geometry of Numbers

    Hlawka, Edmund (et al.)

    Pages 38-70

  • Number Theoretic Functions

    Hlawka, Edmund (et al.)

    Pages 71-105

  • The Prime Number Theorem

    Hlawka, Edmund (et al.)

    Pages 106-137

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-642-75306-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-540-52016-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric and Analytic Number Theory
Authors
Translated by
Thomas, C.
Series Title
Universitext
Copyright
1991
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-75306-0
DOI
10.1007/978-3-642-75306-0
Softcover ISBN
978-3-540-52016-0
Series ISSN
0172-5939
Edition Number
1
Number of Pages
X, 238
Additional Information
Original German edition published by Manz-Verlag Wien, 1986
Topics