TY  - BOOK
AU  - Schwarz,Wolfgang
AU  - Spilker,Jürgen
TI  - Arithmetical Functions
T2  - London Mathematical Society Lecture Note Series
SN  - 9781107359963 (ebook)
AV  - QA245  .S39 1994
U1  - 512/.73 20
PY  - 1994///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Arithmetic functions
KW  - Number theory
KW  - Mean value theorems (Calculus)
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9781107359963
ER  -