Wolfgang Schwarz

Arithmetical Functions (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 Halasz 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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 10. März 1994
• Englisch
• ISBN-13: 9781107299139
• Artikelnr.: 39478098

Inhaltsangabe

Preface
Acknowledgements
Notation
1. Tools from number theory
Photographs
2. Mean-value theorems and multiplicative functions, I
3. Related arithmetical functions
4. Uniformly almost-periodic arithmetical functions
5. Ramanujan Expansions of functions in Bu
6. Almost-periodic and almost-even arithmetical functions
Photographs
7. The theorems of Elliott and Daboussi
8. Ramanujan expansions
9. Mean-value theorems and multiplicative functions, II
Photographs
Appendix
Bibliography
Author index
Subject index
Photographs
Acknowledgements.