Arithmetical Functions
Book Details
Format
Paperback / softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
0521427258
ISBN-13
9780521427258
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 10th, 1994
Print length
388 Pages
Weight
592 grams
Dimensions
23.30 x 17.20 x 2.40 cms
Product Classification:
Number theory
KSh 9,300.00
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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 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 Halasz 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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