Arithmetical Functions by Jrgen Spilker

Arithmetical Functions by Jrgen Spilker

The theme of this book is the characterization of 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 Hal sz 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.

..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

SKU	Non disponible
ISBN 13	9780521427258
ISBN 10	0521427258
Titre	Arithmetical Functions
Auteur	Jrgen Spilker
Série	London Mathematical Society Lecture Note Series
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	1994-03-10
Nombre de pages	388
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible