Arithmetical Functions

Author:   Wolfgang Schwarz (Johann Wolfgang Goethe-Universität Frankfurt) ,  Jürgen Spilker (Albert-Ludwigs-Universität Freiburg, Germany)
Publisher:   Cambridge University Press
Volume:   184
ISBN:  

9781107359963


Publication Date:   05 June 2013
Format:   Undefined
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Arithmetical Functions


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Overview

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.

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