Arithmetical Functions
Series: London Mathematical Society Lecture Note Series; 184;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 10 March 1994
- ISBN 9780521427258
- Binding Paperback
- No. of pages388 pages
- Size 228x152x21 mm
- Weight 550 g
- Language English 0
Categories
Short description:
Characterizes certain multiplicative and additive arithmetical functions by combining methods from number theory with simple ideas from functional and harmonic analysis.
MoreLong description:
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 Hal&&&225;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.
"...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
Table 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.
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