Irregularities of distribution
Author(s)
Bibliographic Information
Irregularities of distribution
(Cambridge tracts in mathematics, 89)
Cambridge University Press, 1987
Available at 35 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Bibliography: p. [286]-288
Includes indexes
Description and Table of Contents
Description
This book is an authoritative description of the various approaches to and methods in the theory of irregularities of distribution. The subject is primarily concerned with number theory, but also borders on combinatorics and probability theory. The work is in three parts. The first is concerned with the classical problem, complemented where appropriate with more recent results. In the second part, the authors study generalizations of the classical problem, pioneered by Schmidt. Here, they include chapters on the integral equation method of Schmidt and the more recent Fourier transform technique. The final part is devoted to Roth's '1/4-theorem'.
Table of Contents
- Part I. The Classical Problem: 1. Van der Corput's conjecture
- 2. Lower bounds - Roth's method
- 3. Upper bounds
- 4. Lower bounds - a combinatorial method of Schmidt
- Part II. Generalization of the Classical Problem: 5. Schmidt's work
- 6. A Fourier transform approach
- 7. Further applications of the Fourier transform method
- 8. More upper bounds
- Part III. More Problems!: 9. Miscellaneous questions.
by "Nielsen BookData"