Code: 02030514

Arithmetical Functions

Name: Arithmetical Functions
Brand: Cambridge University Press
SKU: 02030514
Price: 71.54 EUR
Availability: InStock
Author: Wolfgang SchwarzJürgen Spilker
ISBN: 9780521427258

by Wolfgang SchwarzJürgen Spilker

Language: English
Binding: Paperback
Number of pages: 388
Publisher: Cambridge University Press, 1994
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Book synopsis

The aim of this book is to characterize 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.