Arithmetical Functions (London Mathematical Society Lecture Note Series, Series Number 184) - Softcover

Schwarz, Wolfgang; Spilker, Jürgen

Softcover

ISBN 10: 0521427258 ISBN 13: 9780521427258

Publisher: Cambridge University Press, 1994

Synopsis

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.

About this title

Book 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. Applications to power series with multiplicative coefficients are also included.

Review

"...a pleasant, courteous, thorough introduction to some of the more civilized areas of number theory, especially spaces of arithmetical functions and allied subjects...downright readable, and a book to be owned by every library, without question." The Bulletin of Mathematics Books

Edition details

• Publisher: Cambridge University Press
• Publication date: 1994
• Language: English
• ISBN 10: 0521427258
• ISBN 13: 9780521427258
• Binding: Paperback
• Edition number: 1
• Number of pages: 388