| Arithmetical Functions Contributor(s): Spilker, Jurgen (Author), Schwarz, Wolfgang (Author) |
|
 |
ISBN: 0521427258 ISBN-13: 9780521427258 Publisher: Cambridge University Press OUR PRICE: $62.69 Product Type: Paperback - Other Formats Published: May 1994 Annotation: 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 Halasz 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory |
| Dewey: 512.73 |
| LCCN: 94195490 |
| Series: Cambridge Studies in Publishing and Printing History |
| Physical Information: 0.86" H x 6" W x 9" (1.25 lbs) 388 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |