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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
©1994.
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| Colección: | London Mathematical Society lecture note series ;
184. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xix, 367 pages) : illustrations, portraits |
| Bibliografía: | Includes bibliographical references (pages 333-352) and indexes. |
| ISBN: | 9781107359963 1107359961 9781461938262 1461938260 1299820751 9781299820753 1139884808 9781139884808 1107383749 9781107383746 1107299136 9781107299139 1107390184 9781107390188 1107387337 9781107387331 1107398606 9781107398603 |