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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 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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