1994Unpublished venueRequires access

Arithmetical functions : an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties

Wolfgang Schwarz, Jürgen Spilker

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Abstract

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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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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Available abstract

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.

Key concepts: Arithmetic function, Ramanujan's sum, Multiplicative function, Mathematics, Notation, Analytic number theory, Number theory, Algebra over a field

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