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Exponential sums and their applications. Transl. from the Russian by Yu. N. Shakhov. (English) Zbl 0754.11022
Mathematics and Its Applications. Soviet Series. 80. Dordrecht etc.: Kluwer Academic Publishers. xv, 209 p. (1992).
This is a translation of the original Russian edition published by Nauka Moskva (1989; Zbl 0665.10026). It is a very nice introduction to the method of exponential sums. In general, the study of this method is very complicated. But in this monograph a sufficiently simple exposition of the fundamentals of the theory is given. Therefore, the book is suited for beginners in exponential sum theory. On the other hand it is of interest for specialists, because there are also some new results.

MSC:
11L03Trigonometric and exponential sums, general
11-01Textbooks (number theory)
11-02Research monographs (number theory)
65D32Quadrature and cubature formulas (numerical methods)
11J71Distribution modulo one
11K16Normal numbers, etc.