Arithmetical Functions

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Paperback | 9 May 1994

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388 Pages

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22.86 x 15.24 x 2.18

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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.

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"...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

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Preface
Acknowledgements
Notation
Tools from number theory
Photographs
Mean-value theorems and multiplicative functions, I
Related arithmetical functions
Uniformly almost-periodic arithmetical functions
Ramanujan Expansions of functions in Bu
Almost-periodic and almost-even arithmetical functions
Photographs
The theorems of Elliott and Daboussi
Ramanujan expansions
Mean-value theorems and multiplicative functions, II
Photographs
Appendix
Bibliography
Author Index
Subject Index
Photographs
Acknowledgements
Table of Contents provided by Publisher. All Rights Reserved.

Arithmetical Functions

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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