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Arithmetical Functions
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About This Book
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 Halász 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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Yes, you can access Arithmetical Functions by Wolfgang Schwarz,Jürgen Spilker in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- Series Page
- Title
- Copyright
- Dedication
- Contents
- Preface
- Acknowledgements
- Notation
- Chapter I Tools from Number Theory
- Chapter II Mean-Value Theorems and Multiplicative Functions, I
- Chapter III Related Arithmetical Functions
- Chapter IV Uniformly Almost-Periodic Arithmetical Functions
- Chapter V RAMANUJAN Expansions of Functions in Bu
- Chapter VI Almost-Periodic and Almost-Even Arithmetical Functions
- Chapter VII The Theorems of ELLIOTT and DABOUSSI
- Chapter VIII Ramanujan Expansions
- Chapter IX Mean–Value Theorems and Multiplicative Functions, II
- Appendix
- Bibliography
- Author Index
- Subject Index
- Photographs of Mathematicians: Acknowledgements