Arithmetical Functions (Paperback) (ISBN-13: 9780521427258)

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 Halász 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.

Author: Jurgen Spilker,Wolfgang Schwarz
ISBN-10: 0521427258
ISBN-13: 9780521427258
Publisher: Cambridge University Press
Language: English
Published: 03/10/1994
Pages: 388
Format: Paperback
Weight: 1.25lbs
Size: 9.00h x 6.00w x 0.86d