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Description - Arithmetical Functions by Wolfgang Schwarz

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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Book Details

ISBN: 9780521427258
ISBN-10: 0521427258
Format: Paperback
(228mm x 152mm x 22mm)
Pages: 388
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Mar-1994
Country of Publication: United Kingdom

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