Arithmetical functions : an introduction to elementary and analytic properties of arithmetic functions and to some of their almostperiodic properties [EBook] / Wolfgang Schwarz, Jürgen Spilker.
Arithmetical functions : an introduction to elementary and analytic properties of arithmetic functions and to some of their almostperiodic properties [EBook] / Wolfgang Schwarz, Jürgen Spilker.
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...
Personal Name(s):  Schwarz, Wolfgang, (author) 

Spilker, Jürgen, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1994

Physical Description: 
1 online resource (xix, 367 pages) 
Note: 
englisch 
ISBN: 
9781107359963 9780521427258 
Series Title: 
London Mathematical Society lecture note series ;
184 
Subject (LOC):  
Full Text 
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 meanvalue theorems, and properties of related multiplicative functions. They also prove the meanvalue 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. 