Arithmetical functions: an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties
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 mea...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
|
| Schriftenreihe: | London Mathematical Society lecture note series
184 |
| Links: | https://doi.org/10.1017/CBO9781107359963 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xix, 367 Seiten) |
| ISBN: | 9781107359963 |
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| spelling | Schwarz, Wolfgang 1934- Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties Wolfgang Schwarz, Jürgen Spilker Cambridge Cambridge University Press 1994 1 Online-Ressource (xix, 367 Seiten) txt c cr London Mathematical Society lecture note series 184 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. Spilker, Jürgen Erscheint auch als Druck-Ausgabe 9780521427258 |
| spellingShingle | Schwarz, Wolfgang 1934- Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties |
| title | Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties |
| title_auth | Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties |
| title_exact_search | Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties |
| title_full | Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties Wolfgang Schwarz, Jürgen Spilker |
| title_fullStr | Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties Wolfgang Schwarz, Jürgen Spilker |
| title_full_unstemmed | Arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties Wolfgang Schwarz, Jürgen Spilker |
| title_short | Arithmetical functions |
| title_sort | arithmetical functions an introduction to elementary and analytic properties of arithmetic functions and to some of their almost periodic properties |
| title_sub | an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties |
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