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Geometric and Analytic Number Theory (Paperback, Softcover reprint of the original 1st ed. 1991)
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Geometric and Analytic Number Theory (Paperback, Softcover reprint of the original 1st ed. 1991)
Series: Universitext
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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.
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