Arithmetical Functions

Characterizes certain multiplicative and additive arithmetical functions by combining methods from number theory with simple ideas from functional and harmonic analysis.

List of contents

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.

Summary

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.

Product details

• Authors: Wolfgang Schwarz, Jurgen Spilker, Jürgen Spilker
• Publisher: Cambridge University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 10.03.1994
• EAN: 9780521427258
• ISBN: 978-0-521-42725-8
• No. of pages: 388
• Dimensions: 152 mm x 229 mm x 23 mm
• Weight: 628 g
• Series: Cambridge Studies in Publishin
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra