Arithmetical functions: an introduction to elementary and analytic properties of arithmetic functions and to some of their al
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The theme of this book is the characterization of certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Hal?sz and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.
LF/715457/R
Характеристики
- ФІО Автора
- Jürgen Spilker
Wolfgang Schwarz - Мова
- Англійська
- Серія
- London Mathematical Society lecture note series 184
- ISBN
- 9780521427258
- Дата виходу
- 1994
