Arithmetical Functions (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
388
Utgivningsdatum
1994-03-01
Förlag
Cambridge University Press
Medarbetare
Spilker, Jrgen
Illustrationer
tabs. line drawings
Volymtitel
Series Number 184 Arithmetical Functions
Dimensioner
222 x 152 x 20 mm
Vikt
540 g
Antal komponenter
1
Komponenter
2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam
ISSN
0076-0552
ISBN
9780521427258
Arithmetical Functions (häftad)

Arithmetical Functions

An Introduction to Elementary and Analytic Properties of Arithmetic Functions and to Some of Their Almost-Periodic Propertie

Häftad Engelska, 1994-03-01
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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 Halsz 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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Innehållsförteckning

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.