ENGLISH

Arithmetical Functions: An Introduction to Elementary and Analytic Propeties of Arithmetic Functions and to Some of Their Almost-Periodic Properties

By Wolfgang Schwarz , Jürgen Spilker

Book information

Publisher
Cambridge University Press
Year
1994
ISBN
0521427258, 9780521427258
LCC
QA245 .S39 1994
Language
english
Format
PDF
Filesize
32 MB (33824730 bytes)
Series
London Mathematical Society Lecture Note Series 184
Pages
193\193
Orientation
no
Scanned
yes
Time added
2012-02-04 16:00:00

Description

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.

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